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Fz(\021)r Fs(\032)p Fz(\030)1390 5060 y Fq(0)1390 5220 y(B)1390 5279 y(@)1526 5147 y(Z)1449 5414 y Fz(G)p Fv(\()p Fz(k)r(;d)p Fv(\))1674 5270 y FF([)p FB(\021)s(;)i(\020)7 b FF(])1859 5233 y Fz(\013)1924 5270 y FB(d\020)2018 5060 y Fq(1)2018 5220 y(C)2018 5279 y(A)2113 5270 y FB(\033)s FF(\()p FB(d\021)s FF(\))27 b(=)e FB(c)p FF(\()p FB(\013)p FF(\))2696 5147 y Fq(Z)2618 5414 y Fz(G)p Fv(\()p Fz(k)r(;d)p Fv(\))2844 5270 y FF([)p FB(\030)t(;)15 b(\020)7 b FF(])3025 5233 y Fz(\013)3090 5270 y FB(d\020)g(:)p eop %%Page: 35 40 35 39 bop 183 282 a Fy(3.)71 b(INTEGRAL)30 b(F)m(ORMULAE)1703 b FF(35)183 539 y(Since)23 b(the)h(in)m(tegrand)g(in)f(paren)m(theses)h (in)f(the)i(left{hand)e(side)g(of)h(the)h(ab)s(o)m(v)m(e)g(relation)183 652 y(do)s(es)40 b(not)i(dep)s(end)d(on)i FB(\021)j FF(b)s(ecause)d(of) g(the)g(rotation)h(in)m(v)-5 b(ariance)40 b(and)g(is)g(equal)h(to)183 764 y FB(b)222 778 y Fz(\013)271 764 y FF(\()p FB(k)s(;)15 b(d;)g(i)p FF(\))33 b(w)m(e)e(can)f(write)803 997 y FB(b)842 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FB(!)988 2046 y Fz(d)p Fs(\000)p Fz(k)1121 2031 y FB(!)1178 2046 y Fz(k)p 931 2072 290 4 v 1027 2155 a FB(!)1084 2170 y Fz(d)1294 1951 y Fv(1)1246 1969 y Fq(Z)1253 2229 y Fv(0)1337 2093 y FF(\(1)21 b FA(\000)e FB(t)1561 2055 y Fv(2)1601 2093 y FF(\))1636 2055 y Fv(\()p Fz(k)r Fs(\000)p Fv(2\))p Fz(=)p Fv(2)1894 2093 y FB(t)1927 2055 y Fz(d)p Fs(\000)p Fz(k)r Fs(\000)p Fv(1+)p Fz(\013)2251 2093 y FB(dt:)454 b FF(\(I)s(I)s(I.3.17\))183 2392 y(The)30 b(in)m(tegral)g(in)f(the)h (righ)m(t-hand)f(side)h(of)g(\(I)s(I)s(I.3.17\))i(is)d(equal)h(to)648 2694 y(1)p FB(=)p FF(2)848 2552 y Fv(1)800 2571 y Fq(Z)808 2831 y Fv(0)891 2694 y FF(\(1)21 b FA(\000)f FB(u)p FF(\))1170 2657 y Fz(k)r(=)p Fv(2)p Fs(\000)p Fv(1)1374 2694 y FB(u)1436 2629 y Fp(d)p Fn(\000)p Fp(k)q Fo(+)p Fp(\013)p 1436 2642 201 3 v 1521 2683 a Fo(2)1646 2657 y Fs(\000)p Fv(1)1740 2694 y FB(du)26 b FF(=)1971 2633 y(1)p 1971 2673 46 4 v 1971 2757 a(2)2036 2627 y(\000)2108 2553 y Fq(\000)2160 2591 y Fz(k)p 2160 2606 39 4 v 2162 2658 a Fv(2)2208 2553 y Fq(\001)2265 2627 y FF(\000)2337 2553 y Fq(\000)2389 2591 y Fz(d)p Fv(+)p Fz(\013)p Fs(\000)p Fz(k)p 2389 2606 230 4 v 2486 2658 a Fv(2)2629 2553 y Fq(\001)p 2036 2673 635 4 v 2198 2766 a FF(\000)2270 2693 y Fq(\000)2321 2730 y Fz(d)p Fv(+)p Fz(\013)p 2321 2745 137 4 v 2372 2798 a Fv(2)2468 2693 y Fq(\001)2680 2694 y FB(:)183 2993 y FF(Then)j(b)m(y)h(\(I)s(I)s(I.3.17\))353 3251 y FB(b)392 3265 y Fz(\013)441 3251 y FF(\()p FB(d)21 b FA(\000)f FF(1)p FB(;)15 b(d;)g(d)22 b FA(\000)e FB(k)s FF(\))26 b(=)1184 3190 y(1)p 1184 3230 46 4 v 1184 3313 a(2)1249 3190 y FB(!)1306 3205 y Fz(d)p Fs(\000)p Fz(k)1440 3190 y FB(!)1497 3205 y Fz(k)p 1249 3230 290 4 v 1346 3313 a FB(!)1403 3328 y Fz(d)1559 3184 y FF(\000)1631 3110 y Fq(\000)1683 3148 y Fz(k)p 1683 3163 39 4 v 1685 3215 a Fv(2)1731 3110 y Fq(\001)1788 3184 y FF(\000)1860 3110 y Fq(\000)1911 3148 y Fz(d)p Fv(+)p Fz(\013)p Fs(\000)p Fz(k)p 1911 3163 230 4 v 2009 3215 a Fv(2)2151 3110 y Fq(\001)p 1559 3230 635 4 v 1720 3323 a FF(\000)1792 3249 y Fq(\000)1844 3287 y Fz(d)p Fv(+)p Fz(\013)p 1844 3302 137 4 v 1894 3354 a Fv(2)1990 3249 y Fq(\001)2228 3251 y FF(=)2334 3184 y(\000)2406 3110 y Fq(\000)2458 3148 y Fz(d)p 2458 3163 37 4 v 2459 3215 a Fv(2)2504 3110 y Fq(\001)2561 3184 y FF(\000)2633 3110 y Fq(\000)2684 3148 y Fz(d)p Fv(+)p Fz(\013)p Fs(\000)p Fz(k)p 2684 3163 230 4 v 2782 3215 a Fv(2)2924 3110 y Fq(\001)p 2334 3230 632 4 v 2334 3323 a FF(\000)2406 3249 y Fq(\000)2458 3287 y Fz(d)p Fs(\000)p Fz(k)p 2458 3302 130 4 v 2505 3354 a Fv(2)2597 3249 y Fq(\001)2654 3323 y FF(\000)2726 3249 y Fq(\000)2778 3287 y Fz(d)p Fv(+)p Fz(\013)p 2778 3302 137 4 v 2828 3354 a Fv(2)2924 3249 y Fq(\001)2976 3251 y FB(:)183 3504 y FF(Th)m(us)j(w)m(e)i(ha)m(v)m(e)g(pro)m(v)m(ed)g (that)337 3756 y FB(b)376 3770 y Fz(\013)425 3756 y FF(\()p FB(d)21 b FA(\000)f FF(1)p FB(;)15 b(d;)g(d)22 b FA(\000)e FB(k)s FF(\))26 b(=)f FB(b)1197 3770 y Fz(\013)1246 3756 y FF(\()p FB(d)c FA(\000)f FB(k)s(;)15 b(d;)g(d)22 b FA(\000)e FF(1\))26 b(=)1989 3689 y(\000)2061 3615 y Fq(\000)2113 3653 y Fz(d)p 2113 3668 37 4 v 2114 3720 a Fv(2)2159 3615 y Fq(\001)2216 3689 y FF(\000)2288 3615 y Fq(\000)2339 3653 y Fz(d)p Fv(+)p Fz(\013)p Fs(\000)p Fz(k)p 2339 3668 230 4 v 2437 3720 a Fv(2)2579 3615 y Fq(\001)p 1989 3735 632 4 v 1989 3828 a FF(\000)2061 3754 y Fq(\000)2113 3792 y Fz(d)p Fs(\000)p Fz(k)p 2113 3807 130 4 v 2160 3859 a Fv(2)2252 3754 y Fq(\001)2309 3828 y FF(\000)2381 3754 y Fq(\000)2433 3792 y Fz(d)p Fv(+)p Fz(\013)p 2433 3807 137 4 v 2483 3859 a Fv(2)2579 3754 y Fq(\001)2631 3756 y FB(:)154 b FF(\(I)s(I)s(I.3.18\))183 4009 y(Let)31 b(us)e(pro)m(v)m(e)i(that)g(for)g(all)e FB(k)1058 4199 y(b)1097 4213 y Fz(\013)1146 4199 y FF(\()p FB(d)21 b FA(\000)f FB(k)s(;)15 b(d;)g(k)s FF(\))27 b(=)e FB(b)1764 4213 y Fz(\013)1814 4199 y FF(\()p FB(k)s(;)15 b(d;)g(d)22 b FA(\000)e FB(k)s FF(\))p FB(:)183 4389 y FF(By)30 b(de\014nition,)f(one)h(can)h(write)f(for)g(some)g FB(\021)f FA(2)c FB(G)p FF(\()p FB(k)s(;)15 b(d)p FF(\))385 4621 y FB(b)424 4635 y Fz(\013)474 4621 y FF(\()p FB(d)21 b FA(\000)f FB(k)s(;)15 b(d;)g(k)s FF(\))27 b(=)1155 4497 y Fq(Z)1033 4764 y Fz(G)p Fv(\()p Fz(d)p Fs(\000)p Fz(k)r(;d)p Fv(\))1348 4621 y FF([)p FB(\014)1424 4635 y Fv(0)1464 4621 y FB(;)15 b(\021)s FF(])1577 4584 y Fz(\013)1643 4621 y FB(d\021)29 b FF(=)1962 4497 y Fq(Z)1840 4764 y Fz(G)p Fv(\()p Fz(d)p Fs(\000)p Fz(k)r(;d)p Fv(\))2155 4621 y FF([)p FB(\014)2236 4584 y Fs(?)2231 4644 y Fv(0)2296 4621 y FB(;)15 b(\021)2384 4584 y Fs(?)2444 4621 y FF(])2469 4584 y Fz(\013)2534 4621 y FB(d\021)29 b FF(=)502 4823 y Fq(Z)425 5090 y Fz(G)p Fv(\()p Fz(k)r(;d)p Fv(\))650 4947 y FF([)p FB(\014)731 4910 y Fs(?)726 4970 y Fv(0)790 4947 y FB(;)15 b(\021)878 4910 y Fs(?)938 4947 y FF(])963 4910 y Fz(\013)1028 4947 y FB(d\021)1123 4910 y Fs(?)1208 4947 y FF(=)1361 4823 y Fq(Z)1284 5090 y Fz(G)p Fv(\()p Fz(k)r(;d)p Fv(\))1508 4947 y FF([)p FB(\014)1589 4910 y Fs(?)1584 4970 y Fv(0)1649 4947 y FB(;)g(\027)6 b FF(])1765 4910 y Fz(\013)1830 4947 y FB(d\027)31 b FF(=)25 b FB(b)2088 4961 y Fz(\013)2137 4947 y FF(\()p FB(k)s(;)15 b(d;)g(d)23 b FA(\000)c FB(k)s FF(\))p FB(:)183 5281 y FF(The)30 b(said)f(ab)s(o)m(v)m(e)i(is)f(true)g(since)g([)p FB(\014)5 b(;)15 b(\021)s FF(])27 b(=)e([)p FB(\014)1719 5248 y Fs(?)1778 5281 y FB(;)15 b(\021)1866 5248 y Fs(?)1926 5281 y FF(])30 b(for)h(all)e FB(\014)h FA(2)25 b FB(G)p FF(\()p FB(d)d FA(\000)d FB(k)s(;)c(d)p FF(\),)183 5394 y FB(\021)28 b FA(2)d FB(G)p FF(\()p FB(k)s(;)15 b(d)p FF(\).)p eop %%Page: 36 41 36 40 bop 581 282 a FF(36)1021 b Fy(CHAPTER)29 b(I)s(I)s(I.)90 b(INTEGRAL)30 b(TRANSF)m(ORMS)722 539 y FF(F)-8 b(urthermore,)31 b(b)m(y)f(\(I)s(I)s(I.3.18\))h(w)m(e)g(ha)m(v)m(e)h(for)e(all)f(1)d Fx(6)f FB(r)j Fx(6)d FB(d)20 b FA(\000)g FF(1)950 793 y FB(b)989 807 y Fz(\013)1039 793 y FF(\()p FB(d)h FA(\000)f FF(1)p FB(;)15 b(d;)g(r)s FF(\))26 b(=)f FB(b)1645 807 y Fz(\013)1695 793 y FF(\()p FB(r)m(;)15 b(d;)g(d)22 b FA(\000)e FF(1\))26 b(=)2268 726 y(\000)2340 652 y Fq(\000)2391 690 y Fz(d)p 2391 705 37 4 v 2392 757 a Fv(2)2438 652 y Fq(\001)2495 726 y FF(\000)2567 652 y Fq(\000)2618 690 y Fz(r)r Fv(+)p Fz(\013)p 2618 705 135 4 v 2667 757 a Fv(2)2762 652 y Fq(\001)p 2267 772 538 4 v 2267 865 a FF(\000)2339 791 y Fq(\000)2391 829 y Fz(r)p 2391 844 36 4 v 2391 896 a Fv(2)2436 791 y Fq(\001)2493 865 y FF(\000)2565 791 y Fq(\000)2616 829 y Fz(d)p Fv(+)p Fz(\013)p 2616 844 137 4 v 2667 896 a Fv(2)2763 791 y Fq(\001)2814 793 y FB(:)370 b FF(\(I)s(I)s(I.3.19\))581 1048 y(By)31 b(\(I)s(I)s(I.3.15\))g(and)f(\(I)s(I)s(I.3.19\))h(the)g (follo)m(wing)e(equalit)m(y)h(is)f(true:)796 1235 y FB(b)835 1249 y Fz(\013)885 1235 y FF(\()p FB(k)s(;)15 b(d;)g(d)22 b FA(\000)e FF(2\))26 b(=)f FB(b)1498 1249 y Fz(\013)1547 1235 y FF(\()p FB(d)c FA(\000)f FF(2)p FB(;)15 b(d)22 b FA(\000)e FF(1)p FB(;)15 b(k)24 b FA(\000)c FF(1\))h FA(\001)f FB(b)2418 1249 y Fz(\013)2468 1235 y FF(\()p FB(k)s(;)15 b(d;)g(d)22 b FA(\000)e FF(1\))26 b(=)1351 1373 y(\000)1423 1299 y Fq(\000)1475 1337 y Fz(d)p 1475 1352 37 4 v 1476 1404 a Fv(2)1521 1299 y Fq(\001)1578 1373 y FF(\000)1650 1299 y Fq(\000)1701 1337 y Fz(k)r Fv(+)p Fz(\013)p 1701 1352 139 4 v 1753 1404 a Fv(2)1850 1299 y Fq(\001)p 1351 1419 541 4 v 1351 1512 a FF(\000)1423 1438 y Fq(\000)1475 1476 y Fz(k)p 1475 1491 39 4 v 1477 1543 a Fv(2)1523 1438 y Fq(\001)1580 1512 y FF(\000)1652 1438 y Fq(\000)1704 1476 y Fz(d)p Fv(+)p Fz(\013)p 1704 1491 137 4 v 1754 1543 a Fv(2)1850 1438 y Fq(\001)1922 1440 y FA(\001)1977 1373 y FF(\000)2049 1299 y Fq(\000)2101 1337 y Fz(d)p Fs(\000)p Fv(1)p 2101 1352 127 4 v 2147 1404 a(2)2237 1299 y Fq(\001)2294 1373 y FF(\000)2366 1299 y Fq(\000)2418 1337 y Fz(k)r Fs(\000)p Fv(1+)p Fz(\013)p 2418 1352 229 4 v 2515 1404 a Fv(2)2657 1299 y Fq(\001)p 1977 1419 721 4 v 1977 1512 a FF(\000)2049 1438 y Fq(\000)2101 1476 y Fz(k)r Fs(\000)p Fv(1)p 2101 1491 129 4 v 2148 1543 a(2)2240 1438 y Fq(\001)2296 1512 y FF(\000)2368 1438 y Fq(\000)2420 1476 y Fz(d)p Fs(\000)p Fv(1+)p Fz(\013)p 2420 1491 227 4 v 2516 1543 a Fv(2)2657 1438 y Fq(\001)2708 1440 y FB(:)581 1689 y FF(One)k(can)h(pro)m(v)m(e)g(in)e(the)i(same)f (w)m(a)m(y)i(b)m(y)e(induction)e(on)i FB(r)j FF(that)e(for)f FB(\013)c(>)f FF(0)1306 1955 y FB(b)1345 1969 y Fz(\013)1394 1955 y FF(\()p FB(k)s(;)15 b(d;)g(d)23 b FA(\000)d FB(r)s FF(\))25 b(=)1967 1842 y Fz(r)r Fs(\000)p Fv(1)1971 1869 y Fq(Y)1973 2067 y Fz(l)q Fv(=0)2116 1888 y FF(\000)2188 1814 y Fq(\000)2239 1852 y Fz(d)p Fs(\000)p Fz(l)p 2239 1867 114 4 v 2278 1919 a Fv(2)2362 1814 y Fq(\001)2419 1888 y FF(\000)2491 1814 y Fq(\000)2543 1852 y Fz(k)r Fs(\000)p Fz(l)q Fv(+)p Fz(\013)p 2543 1867 216 4 v 2633 1919 a Fv(2)2768 1814 y Fq(\001)p 2116 1934 695 4 v 2116 2027 a FF(\000)2188 1954 y Fq(\000)2239 1991 y Fz(k)r Fs(\000)p Fz(l)p 2239 2006 116 4 v 2279 2059 a Fv(2)2365 1954 y Fq(\001)2421 2027 y FF(\000)2493 1954 y Fq(\000)2545 1991 y Fz(d)p Fs(\000)p Fz(l)q Fv(+)p Fz(\013)p 2545 2006 214 4 v 2634 2059 a Fv(2)2768 1954 y Fq(\001)2820 1955 y FB(;)581 2221 y FF(or,)31 b(more)f(generally)-8 b(,)907 2491 y FB(b)946 2505 y Fz(\013)995 2491 y FF(\()p FB(k)s(;)15 b(d;)g(r)s FF(\))27 b(=)1409 2377 y Fz(d)p Fs(\000)p Fz(r)r Fs(\000)p Fv(1)1458 2404 y Fq(Y)1461 2602 y Fz(l)q Fv(=0)1649 2423 y FF(\000)1721 2350 y Fq(\000)1773 2388 y Fz(d)p Fs(\000)p Fz(l)p 1773 2403 114 4 v 1812 2455 a Fv(2)1896 2350 y Fq(\001)1953 2423 y FF(\000)2025 2350 y Fq(\000)2076 2388 y Fz(k)r Fs(\000)p Fz(l)q Fv(+)p Fz(\013)p 2076 2403 216 4 v 2166 2455 a Fv(2)2302 2350 y Fq(\001)p 1649 2470 695 4 v 1649 2562 a FF(\000)1721 2489 y Fq(\000)1773 2527 y Fz(k)r Fs(\000)p Fz(l)p 1773 2542 116 4 v 1813 2594 a Fv(2)1898 2489 y Fq(\001)1955 2562 y FF(\000)2027 2489 y Fq(\000)2078 2527 y Fz(d)p Fs(\000)p Fz(l)q Fv(+)p Fz(\013)p 2078 2542 214 4 v 2167 2594 a Fv(2)2302 2489 y Fq(\001)2353 2491 y FB(;)107 b(k)23 b FF(+)d FB(r)28 b Fx(>)d FB(d:)326 b FF(\(I)s(I)s(I.3.20\))581 2762 y(Then)41 b(as)h FB(c)p FF(\()p FB(\013)p FF(\))j(=)f FB(b)1319 2776 y Fz(\013)1368 2762 y FF(\()p 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b(Then)1711 3564 y FA(k)p FB(R)1825 3578 y Fz(j)t(i)1886 3564 y FB(')p FA(k)1990 3583 y Fv(\()p Fz(\013)p Fv(\))2121 3564 y Fx(6)25 b FB(d)p FF(\()p FB(\013;)15 b(q)s FF(\))p FA(k)p FB(')p FA(k)2625 3578 y Fz(p)3209 3564 y FF(\(I)s(I)s(I.3.30\)) 808 3733 y Ft(wher)-5 b(e)1026 4020 y FB(d)p FF(\()p FB(\013;)15 b(q)s FF(\))27 b(=)e FB(c)p FF(\()p FB(\013)p FF(\))c FA(\001)1642 3837 y Fq(0)1642 4001 y(@)1721 3907 y Fz(d)p Fs(\000)p Fz(k)r Fs(\000)p Fv(1)1773 3934 y Fq(Y)1775 4132 y Fz(l)q Fv(=0)1979 3926 y FF(\000)2051 3852 y Fq(\000)2103 3890 y Fz(d)p Fs(\000)p Fz(l)p 2103 3905 114 4 v 2141 3957 a Fv(2)2226 3852 y Fq(\001)2282 3926 y FF(\000)2354 3825 y Fq(\020)2419 3885 y Fz(j)t Fs(\000)p Fz(l)q Fv(+)p Fz(\013)p Fv(+)p Fz(q)p 2419 3905 299 4 v 2550 3957 a Fv(2)2727 3825 y Fq(\021)p 1966 3999 828 4 v 1966 4115 a FF(\000)2038 4014 y Fq(\020)2103 4074 y Fz(j)t Fs(\000)p Fz(l)p 2103 4094 110 4 v 2139 4146 a Fv(2)2222 4014 y Fq(\021)2291 4115 y FF(\000)2363 4014 y Fq(\020)2427 4074 y Fz(d)p 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Fz(k)r(r)327 1216 y FF(\()q FC(M)p FF(\()p FB(G)p FF(\()p FB(k)s(;)15 b(d)p FF(\)\)\))42 b(for)c FB(r)j FF(=)e FB(d)26 b FA(\000)f FB(k)s FF(,)41 b FB(k)h(<)d(d)26 b FA(\000)f FF(1)39 b(is)f(b)m(y)g(means)g(of)h FB(k)s FF(th)g(pro)5 b(jection)183 1329 y(functions)33 b(of)i(cen)m(trally)g (symmetric)f(con)m(v)m(ex)i(b)s(o)s(dies.)53 b(In)34 b FA(x)p FF(7,)j(theorem)e(7.1)h(of)f([22)q(])183 1442 y(the)e(classes)g FA(K)q FF(\()p FB(k)s FF(\))i(of)e(cen)m(trally)g (symmetric)f(con)m(v)m(ex)j(b)s(o)s(dies)c(are)j(describ)s(ed)d(whose) 183 1555 y FB(k)s FF(th)f(pro)5 b(jection)30 b(function)f FB(v)1181 1570 y Fz(k)1224 1555 y FF(\()p FB(K)7 b FF(;)15 b FB(\021)s FF(\))31 b(on)g FB(\021)d FA(2)d FB(G)p FF(\()p FB(k)s(;)15 b(d)p FF(\))33 b(can)d(b)s(e)g(represen)m(ted)g(as)1112 1801 y FB(v)1156 1816 y Fz(k)1199 1801 y FF(\()p FB(K)7 b FF(;)15 b FB(\021)s FF(\))26 b(=)1620 1677 y Fq(Z)1543 1944 y Fz(G)p Fv(\()p Fz(k)r(;d)p Fv(\))1768 1801 y FF([)p FB(\021)1841 1763 y Fs(?)1900 1801 y FB(;)15 b(\030)t FF(])g FB(\026)p FF(\()p FB(d\030)t FF(\))183 2138 y(for)24 b(some)h(p)s(ositiv)m(e)f(measure)g FB(\026)h FF(on)f FB(G)p FF(\()p FB(k)s(;)15 b(d)p FF(\).)41 b(Supp)s(ose)23 b(one)i(can)g(determine)f(whether)183 2251 y(a)41 b(giv)m(en)f (function)f FB(f)52 b FF(:)42 b FB(G)p FF(\()p FB(k)s(;)15 b(d)p FF(\))44 b FA(!)e Fw(R)49 b FF(is)40 b(the)g FB(k)s FF(th)h(pro)5 b(jection)40 b(function)f(of)i(some)183 2363 y(cen)m(trally)32 b(symmetric)h(con)m(v)m(ex)h(b)s(o)s(dy)e FB(K)7 b FF(.)48 b(Then)32 b(the)h(criterion)f(cited)h(ab)s(o)m(v)m(e)h (yields)183 2476 y(that)j FB(f)441 2443 y Fs(?)536 2476 y FF(is)f(the)h(rose)g(of)g(in)m(tersections)f(of)h(a)h(stationary)f FB(k)s FF({\015at)g(pro)s(cess)g(\010)2916 2443 y Fz(d)2916 2504 y(k)2995 2476 y FF(with)183 2589 y FB(d)5 b FA(\000)g FB(k)s FF({\015ats.)40 b(Th)m(us)22 b(the)h(original)e(problem)g(can)j (b)s(e)e(reduced)g(to)i(the)f(c)m(haracterization)183 2702 y(of)30 b(pro)5 b(jection)30 b(functions)f(whic)m(h)g(is)h(not)g (obtained)g(y)m(et.)p eop %%Page: 68 73 68 72 bop 581 282 a FF(68)1269 b Fy(CHAPTER)30 b(V.)61 b(RELA)-8 b(TED)30 b(PR)m(OBLEMS)p eop %%Page: 69 74 69 73 bop 183 1207 a FD(Bibliograph)-6 b(y)228 1656 y FF([1])47 b Fa(Ambar)-6 b(tzumian,)30 b(R.)i(V.)c FF(\(1990\).)39 b Ft(F)-7 b(actorization)33 b(Calculus)e(and)g(Ge)-5 b(ometric)370 1769 y(Pr)g(ob)g(ability)25 b FF(v)m(ol.)f(33)h(of)f Ft(Encyclop)-5 b(e)g(dia)28 b(of)f(Mathematics)h(and)f(Its)g(Applic)-5 b(ations)p FF(.)370 1882 y(Cam)m(bridge)29 b(Univ)m(ersit)m(y)h(Press,) g(Cam)m(bridge.)228 2086 y([2])47 b Fa(Ber)n(ger,)33 b(M.)d FF(\(1980\).)43 b Ft(Ge)-5 b(ometry)35 b(I)p FF(.)40 b(Univ)m(ersitext.)31 b(Springer.)228 2291 y([3])47 b Fa(Billingsley,)36 b(P.)d FF(\(1999\).)49 b Ft(Conver)-5 b(genc)g(e)35 b(of)g(pr)-5 b(ob)g(ability)37 b(me)-5 b(asur)g(es)p FF(.)48 b(Wiley)-8 b(,)370 2404 y(New)30 b(Y)-8 b(ork.)228 2608 y([4])47 b Fa(D)m(a)-8 b(vidson,)34 b(R.)c FF(\(1974\).)44 b(Line{pro)s(cesses,)30 b(roads,)h(and)f (\014bres.)41 b(In)29 b Ft(Sto)-5 b(chastic)370 2721 y(ge)g(ometry)p FF(.)24 b(ed.)g(E.)f(F.)h(Harding)e(and)g(D.)i(G.)g (Kendall.)j(Wiley)-8 b(,)25 b(London)d(pp.)h(248{)370 2834 y(251.)228 3038 y([5])47 b Fa(Erd)549 3030 y(\023)549 3038 y(el)-6 b(yi,)80 b(A.)65 b FF(\(1953\).)148 b Ft(Higher)65 b(T)-7 b(r)i(ansc)g(endential)67 b(F)-7 b(unctions)67 b FF(v)m(ol.)f(2.)370 3151 y(McGra)m(w{Hill.)228 3356 y([6])47 b Fa(Eskin,)41 b(G.)g(I.)36 b FF(\(1981\).)59 b Ft(Boundary)40 b(value)d(pr)-5 b(oblems)40 b(for)e(el)5 b(liptic)38 b(pseudo)-5 b(dif-)370 3468 y(fer)g(ential)33 b(e)-5 b(quations)p FF(.)42 b(Amer.)30 b(Math.)h(So)s(c.,)g(Pro)m (vidence,)g(RI.)228 3673 y([7])47 b Fa(F)-11 b(a)j(vis,)43 b(W.)e(and)g(Wei\031,)j(V.)37 b FF(\(1998\).)64 b(Mean)38 b(v)-5 b(alues)37 b(of)g(w)m(eigh)m(ted)h(cells)e(of)370 3786 y(stationary)e(P)m(oisson)h(h)m(yp)s(erplane)d(tessellations)i(of) h Fw(R)2289 3753 y Fz(d)2335 3786 y FF(.)53 b Ft(Math.)37 b(Nachr.)f FC(193,)370 3899 y FF(37{48.)228 4103 y([8])47 b Fa(Gardner,)g(R.)e(J.)c FF(\(1995\).)75 b Ft(Ge)-5 b(ometric)44 b(T)-7 b(omo)i(gr)g(aphy)45 b FF(v)m(ol.)c(58)h(of)f Ft(Enc.)h(of)370 4216 y(Mathematics)33 b(and)h(its)f(Appl.)41 b FF(Cam)m(bridge)29 b(Univ)m(ersit)m(y)h(Press.)228 4420 y([9])47 b Fa(Gelf)-8 b(and,)44 b(I.)f(M.,)i(Graev,)f(M.)g(I.)f (and)f(R)m(osu,)i(R.)39 b FF(\(1984\).)68 b(The)38 b(prob-)370 4533 y(lem)c(of)i(in)m(tegral)f(geometry)i(and)e(in)m(tert)m(wining)f (op)s(erators)h(for)h(a)g(pair)e(of)i(real)370 4646 y(Grassmannian)28 b(manifolds.)39 b Ft(J.)32 b(Op)-5 b(er)g(ator)35 b(The)-5 b(ory)40 b FC(12,)31 b FF(359{383.)183 4851 y([10])47 b Fa(Gelf)-8 b(and,)52 b(I.)e(M.,)k(Graev,)g(M.)c(I.)g(and)f(Shapir)n (o,)k(Z.)d(J.)45 b FF(\(1970\).)88 b(A)370 4964 y(problem)26 b(of)j(in)m(tegral)f(geometry)i(for)e(a)h(pair)e(of)i(Grassmann)e (manifolds.)35 b Ft(Dokl.)370 5076 y(A)n(kad.)d(Nauk)g(SSSR)j FC(193,)c FF(892{895.)183 5281 y([11])47 b Fa(Gluck,)29 b(H.)h(and)e(W)-11 b(arner,)29 b(F.)g(W.)c FF(\(1983\).)36 b(Great)26 b(circle)f(\014brations)f(of)i(the)370 5394 y(three{sphere.)40 b Ft(Duke)32 b(Math.)h(J.)d FC(50,)h FF(107{132.)1632 5622 y(69)p eop %%Page: 70 75 70 74 bop 581 282 a FF(70)2172 b Fy(BIBLIOGRAPHY)581 539 y FF([12])47 b Fa(Goodey,)40 b(P.)35 b FF(\(1997\).)57 b(Applications)32 b(of)j(represen)m(tation)g(theory)h(to)f(con)m(v)m (ex)768 652 y(b)s(odies.)80 b(Serie)43 b(I)s(I)h(Suppl.)d(50.)83 b(Rendicon)m(ti)43 b(del)g(Circolo)g(Mathematico)j(di)768 764 y(Palermo.)581 964 y([13])h Fa(Goodey,)34 b(P.)c FF(\(1998\).)43 b(Radon)30 b(transforms)g(of)g(pro)5 b(jection)30 b(functions.)39 b Ft(Math.)768 1077 y(Pr)-5 b(o)g(c.)33 b(Cambridge)h(Philos.)f(So)-5 b(c.)31 b FC(123,)g FF(159{168.)581 1277 y([14])47 b Fa(Goodey,)37 b(P.)g(and)f(Ho)n(w)-8 b(ard,)37 b(R.)32 b FF(\(1990\).)50 b(Pro)s(cesses)33 b(of)g(\015ats)g(induced)e(b)m(y)768 1390 y(higher-dimensional)c(pro)s (cesses.)40 b Ft(A)-5 b(dv.)33 b(Math.)d FC(80,)h FF(92{109.)581 1590 y([15])47 b Fa(Goodey,)37 b(P.)g(and)f(Ho)n(w)-8 b(ard,)37 b(R.)32 b FF(\(1990\).)50 b(Pro)s(cesses)33 b(of)g(\015ats)g(induced)e(b)m(y)768 1702 y(higher-dimensional)37 b(pro)s(cesses.)70 b(In)40 b Ft(Inte)-5 b(gr)g(al)44 b(Ge)-5 b(ometry)43 b(and)g(T)-7 b(omo)i(gr)g(aphy)768 1815 y(\(A)n(r)g(c)g(ata,)42 b(CA,)c(1989\))p FF(.)64 b(v)m(ol.)38 b(113)g(of)g Ft(Contemp.)i(Math.)62 b FF(Amer.)37 b(Math.)i(So)s(c.,)768 1928 y(Pro)m(vidence,)30 b(RI.)41 b(pp.)29 b(111{119.)581 2128 y([16])47 b Fa(Goodey,)e(P.,)i(Ho)n(w)-8 b(ard,)45 b(R.)f(and)f(Reeder,)h(M.)39 b FF(\(1996\).)70 b(Pro)s(cesses)40 b(of)768 2241 y(\015ats)27 b(induced)f(b)m(y)h (higher-dimensional)c(pro)s(cesses.)28 b(I)s(I)s(I.)34 b Ft(Ge)-5 b(om.)31 b(De)-5 b(dic)g(ata)35 b FC(61,)768 2354 y FF(257{269.)581 2554 y([17])47 b Fa(Goodey,)28 b(P.,)h(Lutw)-8 b(ak,)28 b(E.)g(and)f(Weil,)h(W.)23 b FF(\(1996\).)32 b(F)-8 b(unctional)23 b(analytic)768 2667 y(c)m(haracterizations)32 b(of)e(classes)g(of)h(con)m(v)m(ex)h(b)s (o)s(dies.)39 b Ft(Math.)33 b(Z.)d FC(222,)h FF(363{381.)581 2866 y([18])47 b Fa(Goodey,)33 b(P.)h(and)g(Weil,)f(W.)c FF(\(1987\).)43 b(T)-8 b(ranslativ)m(e)29 b(in)m(tegral)h(form)m(ulae)f (for)768 2979 y(con)m(v)m(ex)j(b)s(o)s(dies.)39 b Ft(A)-5 b(e)g(quationes)33 b(Math.)e FC(34,)g FF(64{77.)581 3179 y([19])47 b Fa(Goodey,)28 b(P.)g(and)f(Weil,)h(W.)23 b FF(\(1991\).)32 b(Cen)m(trally)23 b(symmetric)g(con)m(v)m(ex)i(b)s (odi-)768 3292 y(es)g(and)f(Radon)h(transforms)e(on)i(higher)e(order)i (Grassmannians.)k Ft(Mathematika)768 3405 y FC(38,)i FF(117{133.)581 3605 y([20])47 b Fa(Goodey,)35 b(P.)h(and)f(Weil,)g(W.) c FF(\(1992\).)47 b(Cen)m(trally)30 b(symmetric)h(con)m(v)m(ex)i(b)s (o-)768 3717 y(dies)44 b(and)g(the)h(spherical)e(Radon)h(transform.)83 b Ft(J.)45 b(Di\013er)-5 b(ential)47 b(Ge)-5 b(om.)45 b FC(35,)768 3830 y FF(675{688.)581 4030 y([21])i Fa(Goodey,)39 b(P.)g(and)f(Weil,)g(W.)c FF(\(1992\).)55 b(In)m(tegral)35 b(geometric)g(form)m(ulae)f(for)768 4143 y(pro)5 b(jection)30 b(functions.)39 b Ft(Ge)-5 b(om.)34 b(De)-5 b(dic)g(ata)39 b FC(41,)31 b FF(117{126.)581 4343 y([22])47 b Fa(Goodey,)37 b(P.)g(and)f(Weil,)g(W.)d FF(\(1993\).)49 b(Zonoids)32 b(and)g(generalizations.)47 b(In)768 4456 y(Grub)s(er)29 b(and)h(Wills)e([29)q(])j(pp.)e(1297{1326.)581 4655 y([23])47 b Fa(Goodey,)34 b(P.)i(and)e(Zhang,)h(G.)c FF(\(1998\).)45 b(Inequalities)29 b(b)s(et)m(w)m(een)i(pro)5 b(jection)768 4768 y(functions)29 b(of)h(con)m(v)m(ex)i(b)s(o)s(dies.)39 b Ft(A)n(m.)32 b(J.)g(of)h(Math.)e FC(120,)g FF(345{367.)581 4968 y([24])47 b Fa(Grinber)n(g,)41 b(E.)36 b FF(\(1985\).)58 b(On)34 b(images)i(of)f(Radon)g(transforms.)55 b Ft(Duke)36 b(Math.)768 5081 y(J.)30 b FC(52,)h FF(939{972.)581 5281 y([25])47 b Fa(Grinber)n(g,)35 b(E.)c FF(\(1986\).)45 b(Radon)30 b(transforms)g(on)h(higher)f(rank)g(Grassmanni-)768 5394 y(ans.)40 b Ft(J.)33 b(Di\013er)-5 b(ential)33 b(Ge)-5 b(om.)31 b FC(24,)g FF(53{68.)p eop %%Page: 71 76 71 75 bop 183 282 a Fy(BIBLIOGRAPHY)2172 b FF(71)183 539 y([26])47 b Fa(Grinber)n(g,)37 b(E.)c FF(\(2000\).)49 b(Cosine)32 b(and)g(Radon)g(transforms)g(on)h(Grassmanni-)370 652 y(ans.)40 b(Preprin)m(t.)183 840 y([27])47 b Fa(Gr)n(oemer,)39 b(H.)c FF(\(1993\).)57 b(F)-8 b(ourier)34 b(series)h(and)f(spherical)f (harmonics)h(in)g(con-)370 953 y(v)m(exit)m(y)-8 b(.)41 b(In)30 b(Grub)s(er)f(and)h(Wills)e([29)q(])j(pp.)e(1259{1295.)183 1141 y([28])47 b Fa(Gr)n(oemer,)42 b(H.)37 b FF(\(1996\).)62 b Ft(Ge)-5 b(ometric)40 b(Applic)-5 b(ations)41 b(of)e(F)-7 b(ourier)40 b(Series)e(and)370 1254 y(Spheric)-5 b(al)34 b(Harmonics)p FF(.)42 b(Cam)m(bridge)29 b(Univ)m(ersit)m(y)h(Press,)g (New)g(Y)-8 b(ork.)183 1442 y([29])47 b Fa(Gr)n(uber,)30 b(P.)i(M.)e(and)h(Wills,)f(J.)h(M.)p FF(,)c(Eds.)g(\(1993\).)38 b Ft(Handb)-5 b(o)g(ok)31 b(of)f(Convex)370 1555 y(Ge)-5 b(ometry)p FF(.)42 b(North-Holland,)29 b(Amsterdam.)183 1743 y([30])47 b Fa(G)450 1735 y(\177)447 1743 y(urlebeck,)26 b(K.)g(and)f(Spr)1419 1735 y(\177)1415 1743 y(ossig,)i(W.)c FF(\(1997\).)30 b Ft(Quaternionic)c(and)h(Cli\013or)-5 b(d)370 1856 y(c)g(alculus)33 b(for)g(physicists)h(and)f(engine)-5 b(ers)p FF(.)41 b(Wiley)-8 b(.)183 2044 y([31])47 b Fa(Helgason,)37 b(S.)c FF(\(1959\).)54 b(Di\013eren)m(tial)33 b(op)s(erators)h(on)g (homogeneous)h(spaces.)370 2157 y Ft(A)-5 b(cta)32 b(Math.)f FC(102,)g FF(239{299.)183 2345 y([32])47 b Fa(Helgason,)j(S.)43 b FF(\(1984\).)83 b Ft(Gr)-5 b(oups)47 b(and)f(Ge)-5 b(ometric)46 b(A)n(nalysis)p FF(.)81 b(Academic)370 2458 y(Press,)30 b(Orlando.)183 2646 y([33])47 b Fa(Helgason,)35 b(S.)c FF(\(1990\).)48 b(The)31 b(totally{geo)s(desic)i(Radon)f (transform)f(on)h(con-)370 2759 y(stan)m(t)f(curv)-5 b(ature)30 b(spaces.)41 b Ft(Contemp.)34 b(Math.)d FC(113,)g FF(141{149.)183 2947 y([34])47 b Fa(Helgason,)25 b(S.)d FF(\(1994\).)30 b Ft(Ge)-5 b(ometric)26 b(A)n(nalysis)f(on)h(Symmetric) g(Sp)-5 b(ac)g(es)23 b FF(v)m(ol.)g(39)370 3060 y(of)30 b Ft(Math.)j(Surveys)g(and)g(Mono)-5 b(gr)g(aphs)p FF(.)44 b(AMS.)183 3248 y([35])j Fa(James,)28 b(A.)h(T.)c FF(\(1954\).)34 b(Normal)25 b(m)m(ultiv)-5 b(ariate)24 b(analysis)f(and)i(the)g (orthogonal)370 3361 y(group.)40 b Ft(A)n(nn.)31 b(Math.)j(Statist.)d FC(25,)g FF(40{75.)183 3550 y([36])47 b Fa(James,)39 b(A.)g(T.)d FF(\(1961\).)58 b(Zonal)34 b(p)s(olynomials)e(of)k(the)f (real)g(p)s(ositiv)m(e)g(de\014nite)370 3662 y(symmetric)29 b(matrices.)41 b Ft(A)n(nn.)32 b(Math.)f FC(74,)f FF(456{469.)183 3851 y([37])47 b Fa(James,)29 b(A.)i(T.)c FF(\(1964\).)37 b(Distributions)24 b(of)j(matrix)f(v)-5 b(ariates)27 b(and)f(laten)m(t)h(ro)s(ots)370 3964 y(deriv)m(ed)i(from)h(normal)f (samples.)40 b Ft(A)n(nn.)32 b(Math.)h(Statist.)e FC(35,)g FF(475{501.)183 4152 y([38])47 b Fa(James,)36 b(A.)i(T.)33 b FF(\(1968\).)52 b(Calculation)32 b(of)i(zonal)f(p)s(olynomial)d(co)s (e\016cien)m(ts)k(b)m(y)370 4265 y(use)c(of)g(the)g(Laplace)h({)g (Beltrami)e(op)s(erator.)41 b Ft(A)n(nn.)32 b(Math.)h(Statist.)e FC(39,)g FF(1711{)370 4378 y(1718.)183 4566 y([39])47 b Fa(James,)34 b(A.)i(T.)h(and)e(Const)-6 b(antine,)35 b(A.)h(G.)c FF(\(1974\).)47 b(Generalized)32 b(Jacobi)370 4679 y(p)s(olynomials)h(as)j(spherical)f(functions)f(of)j(the)f (Grassmann)g(manifold.)56 b Ft(Pr)-5 b(o)g(c.)370 4792 y(L)g(ondon)34 b(Math.)f(So)-5 b(c.)31 b FC(29,)g FF(174{192.)183 4980 y([40])47 b Fa(Janson,)25 b(S.)f(and)h(Kallenber)n(g,)f(O.)d FF(\(1981\).)29 b(Maximizing)20 b(the)i(in)m(tersection)370 5093 y(densit)m(y)29 b(of)i(\014bre)e(pro)s(cess.)40 b Ft(J.)32 b(Appl.)h(Pr)-5 b(ob)g(ab.)32 b FC(18,)f FF(820{828.)183 5281 y([41])47 b Fa(Kakehi,)c(T.)c FF(\(1993\).)66 b(Range)39 b(c)m(haracterization)g(of)f(Radon)g(transforms)f(on)370 5394 y FC(S)428 5361 y Fz(n)505 5394 y FF(and)30 b FC(P)753 5361 y Fk(n)802 5394 y FC(R)q FF(.)40 b Ft(J.)33 b(Math.)g(Kyoto)g (Univ.)d FC(33,)h FF(315{328.)p eop %%Page: 72 77 72 76 bop 581 282 a FF(72)2172 b Fy(BIBLIOGRAPHY)581 539 y FF([42])47 b Fa(Kakehi,)42 b(T.)c FF(\(1999\).)63 b(In)m(tegral)37 b(geometry)h(on)f(Grassmann)g(manifolds)d(and)768 652 y(calculus)29 b(of)h(in)m(v)-5 b(arian)m(t)30 b(di\013eren)m(tial)f (op)s(erators.)41 b Ft(J.)32 b(F)-7 b(unct.)32 b(A)n(nal.)f FC(168,)g FF(1{45.)581 845 y([43])47 b Fa(Kend)n(all,)38 b(M.)g(G.)d FF(\(1961\).)55 b Ft(A)36 b(c)-5 b(ourse)37 b(in)f(the)g(ge)-5 b(ometry)38 b(of)f FB(n)e Ft(dimensions)p FF(.)768 958 y(Gri\016n's)29 b(statistical)h(monographs)g(and)g (courses.)g(Gri\016n,)f(London.)581 1152 y([44])47 b Fa(Keutel,)29 b(J.)d FF(\(1991\).)37 b(Ein)25 b(Extremalproblem)g(f)s (\177)-48 b(ur)25 b(zuf\177)-45 b(allige)25 b(Eb)s(enen)g(und)g(f)s (\177)-48 b(ur)768 1264 y(Eb)s(enenprozesse)21 b(in)g(h\177)-45 b(oherdimensionalen)19 b(R\177)-45 b(aumen.)27 b Ft(PhD)e(thesis)p FF(.)j(F)-8 b(riedric)m(h{)768 1377 y(Sc)m(hiller)28 b(Univ)m(ersit)m(y)i(Jena.)581 1571 y([45])47 b Fa(Klain,)c(D.)e(A.)h (and)f(R)m(ot)-6 b(a,)42 b(G.-C.)d FF(\(1997\).)63 b Ft(Intr)-5 b(o)g(duction)41 b(to)f(Ge)-5 b(ometric)768 1684 y(Pr)g(ob)g(ability)p FF(.)42 b(Cam)m(bridge)30 b(Univ)m(ersit)m(y)f(Press,)h(Cam)m(bridge.)581 1877 y([46])47 b Fa(Klingenber)n(g,)29 b(W.)c FF(\(1995\).)35 b Ft(R)n(iemannian)29 b(ge)-5 b(ometry)p FF(.)34 b(De)26 b(Gruyter,)g(Berlin.)581 2071 y([47])47 b Fa(Klingenber)n(g,)39 b(W.)34 b FF(\(1996\).)57 b(Grassmannian)33 b(manifolds)g(in)h (geometry)-8 b(.)56 b(In)768 2184 y Ft(Hermann)34 b(G)q(\177)-48 b(unther)35 b(Gr)-5 b(a\031mann)35 b(\(1809-1877\):)47 b(Visionary)34 b(mathematician,)768 2297 y(scientist)25 b(and)h(ne)-5 b(ohumanist)27 b(scholar)p FF(.)e(ed.)d(G.)g(Sc)m(h)m (ubring.)k(Klu)m(w)m(er,)d(Dordrec)m(h)m(t)768 2410 y(pp.)30 b(281{284.)581 2603 y([48])47 b Fa(K)m(olmogor)n(o)n(v,)40 b(A.)g(N.)g(and)f(F)m(omin,)j(S.)d(V.)d FF(\(1975\).)59 b Ft(R)-5 b(e)g(el)5 b(le)38 b(F)-7 b(unktionen)768 2716 y(und)33 b(F)-7 b(unktionalanalysis)p FF(.)44 b(Dt.)31 b(V)-8 b(erlag)31 b(der)f(Wiss.,)g(Berlin.)581 2910 y([49])47 b Fa(Landk)n(of,)61 b(N.)56 b(S.)51 b FF(\(1972\).)106 b Ft(F)-7 b(oundations)54 b(of)e(mo)-5 b(dern)54 b(p)-5 b(otential)54 b(the)-5 b(ory)768 3023 y FF(v)m(ol.)45 b(180)h(of)f Ft(Die)h(Grund)5 b(lehr)-5 b(en)47 b(der)g(mathematischen) h(Wissenschaften)f(in)768 3136 y(Einzeldarstel)5 b(lungen)p FF(.)42 b(Springer,)28 b(Berlin.)581 3329 y([50])47 b Fa(Maas,)36 b(H.)c FF(\(1958\).)49 b(Zur)31 b(Theorie)g(der)h (Kugelfunktionen)e(einer)h(Matrixv)-5 b(ari-)768 3442 y(ablen.)40 b Ft(Math.)33 b(A)n(nnalen)k FC(135,)31 b FF(391{416.)581 3636 y([51])47 b Fa(Ma)-6 b(ther)n(on,)39 b(G.)d FF(\(1975\).)58 b Ft(R)-5 b(andom)39 b(Sets)f(and)g(Inte)-5 b(gr)g(al)39 b(Ge)-5 b(ometry)p FF(.)57 b(Wiley)-8 b(,)768 3748 y(New)31 b(Y)-8 b(ork.)581 3942 y([52])47 b Fa(Mecke,)40 b(J.)34 b FF(\(1981\).)58 b(F)-8 b(orm)m(ulas)35 b(for)g(stationary)g (planar)f(\014bre)g(pro)s(cesses)h(I)s(I)s(I)768 4055 y({)46 b(In)m(tersections)g(with)f(\014bre)g(systems.)86 b Ft(Math.)48 b(Op)-5 b(er)g(ationsforsch.)50 b(Statist.)768 4168 y(Ser.)33 b(Statistik)41 b FC(12,)31 b FF(201{210.)581 4361 y([53])47 b Fa(Mecke,)62 b(J.)52 b FF(\(1981\).)108 b(Stereological)52 b(form)m(ulas)g(for)g(manifold)e(pro)s(cesses.)768 4474 y Ft(Pr)-5 b(ob)g(ab.)34 b(Math.)f(Statist.)e FC(2,)g FF(31{35.)581 4668 y([54])47 b Fa(Mecke,)36 b(J.)c FF(\(1986\).)50 b(On)32 b(some)h(inequalities)d(for)i(Poisson)g(net)m(w)m(orks.)48 b Ft(Math.)768 4781 y(Nachr.)31 b FC(128,)g FF(81{86.)581 4974 y([55])47 b Fa(Mecke,)25 b(J.)20 b FF(\(1988\).)26 b(An)20 b(extremal)g(prop)s(ert)m(y)g(of)h(random)e(\015ats.)24 b Ft(J.)f(Micr)-5 b(osc)g(opy)768 5087 y FC(151,)31 b FF(205{209.)581 5281 y([56])47 b Fa(Mecke,)41 b(J.)35 b FF(\(1988\).)60 b(Random)36 b FB(r)s FF({\015ats)g(meeting)g(a)g (ball.)56 b Ft(A)n(r)-5 b(ch.)38 b(Math.)e FC(51,)768 5394 y FF(378{384.)p eop %%Page: 73 78 73 77 bop 183 282 a Fy(BIBLIOGRAPHY)2172 b FF(73)183 539 y([57])47 b Fa(Mecke,)31 b(J.)c FF(\(1991\).)39 b(On)26 b(the)i(in)m(tersection)g(densit)m(y)f(of)h(\015at)g(pro)s(cesses.)36 b Ft(Math.)370 652 y(Nachr.)30 b FC(151,)i FF(69{74.)183 837 y([58])47 b Fa(Mecke,)57 b(J.)c(and)g(Na)n(gel,)58 b(W.)49 b FF(\(1980\).)98 b(Station\177)-45 b(are)49 b(r\177)-45 b(aumlic)m(he)47 b(F)-8 b(aser-)370 950 y(prozesse)31 b(und)f(ihre)h(Sc)m(hnittzahlrosen.)43 b Ft(Elektr)-5 b(on.)34 b(Informationsver)-5 b(arb.)37 b(Ky-)370 1063 y(b)-5 b(ernet.)30 b FC(16,)h FF(475{483.)183 1248 y([59])47 b Fa(Mecke,)j(J.,)h(Schneider,)f(R.,)i(Sto)n(y)-6 b(an,)50 b(D.)e(and)g(Weil,)j(W.)43 b FF(\(1990\).)370 1361 y Ft(Sto)-5 b(chastische)34 b(Ge)-5 b(ometrie)p FF(.)42 b(Birkh\177)-45 b(auser,)29 b(Basel.)183 1547 y([60])47 b Fa(Mecke,)40 b(J.)g(and)g(Thomas,)h(C.)c FF(\(1986\).)60 b(On)35 b(an)h(extreme)h(v)-5 b(alue)36 b(problem)370 1660 y(for)30 b(\015at)g(pro)s(cesses.)41 b Ft(Comm.)33 b(Statist.)h(Sto)-5 b(chastic)34 b(Mo)-5 b(dels)39 b FC(2,)31 b FF(273{280.)183 1845 y([61])47 b Fa(Molchano)n(v,)39 b(I.)i(and)e(Zuev,)i(S.)36 b FF(\(2000\).)60 b(T)-8 b(angen)m(t)38 b(sets)e(in)f(the)h(space)h(of)370 1958 y(measures:)65 b(with)42 b(applications)f(to)j(v)-5 b(ariational)42 b(analysis.)76 b Ft(J.)44 b(Math.)h(A)n(nal.)370 2071 y(Appl.)30 b FC(249,)i FF(539{552.)183 2256 y([62])47 b Fa(Molchano)n(v,)40 b(I.)h(and)f(Zuev,)i(S.)36 b FF(\(2000\).)62 b(V)-8 b(ariational)37 b(analysis)e(of)i(func-)370 2369 y(tionals)29 b(of)h(a)h(P)m(oisson)f(pro)s(cess.)40 b Ft(Math.)33 b(Op)-5 b(er.)34 b(R)-5 b(es.)30 b FC(25,)h FF(458{508.)183 2555 y([63])47 b Fa(Molchano)n(v,)39 b(I.)h(S.)f(and)h(Sto)n(y)-6 b(an,)39 b(D.)e FF(\(1994\).)59 b(Directional)35 b(analysis)f(of)370 2668 y(\014bre)29 b(pro)s(cesses)h(related)g(to)h(Bo)s(olean)g(mo)s(dels.)39 b Ft(Metrika)f FC(41,)31 b FF(183{199.)183 2853 y([64])47 b Fa(Molchano)n(v,)42 b(I.)h(S.)g(and)f(Zuyev,)i(S.)e(A.)d FF(\(1997\).)67 b(V)-8 b(ariational)38 b(analysis)370 2966 y(of)32 b(functionals)g(of)g(a)i(P)m(oisson)e(pro)s(cess.)48 b Ft(T)-7 b(e)i(chnic)g(al)36 b(r)-5 b(ep)g(ort)35 b FF(RR-3302.)50 b(INRIA)370 3079 y(Sophia-An)m(tip)s(olis.)183 3265 y([65])d Fa(M)463 3257 y(\177)460 3265 y(uller,)31 b(C.)f FF(\(1966\).)40 b Ft(Spheric)-5 b(al)34 b(Harmonics)c FF(v)m(ol.)f(17)h(of)f Ft(L)-5 b(e)g(ct.)31 b(Notes)h(Math.)370 3377 y FF(Springer.)183 3563 y([66])47 b Fa(Naas,)c(J.)g(and)e(Schmid,) j(H.)f(L.)38 b FF(\(1984\).)67 b Ft(Mathematisches)41 b(W\177)-46 b(orterbuch)p FF(.)370 3676 y(Ak)-5 b(ademie)30 b({)g(V)-8 b(erlag,)32 b(Berlin.)183 3861 y([67])47 b Fa(Pogorelo)n(v,)26 b(A.)g(V.)d FF(\(1979\).)30 b Ft(Hilb)-5 b(ert's)26 b(F)-7 b(ourth)27 b(Pr)-5 b(oblem)p FF(.)29 b(Winston)22 b(&)g(Sons.)183 4047 y([68])47 b Fa(Pontrja)n(gin,)40 b(L.)g(S.)c FF(\(1995\).)59 b Ft(V)-7 b(er)i(al)5 b(lgemeinerungen)38 b(der)g(Zahlen)e FF(v)m(ol.)g(89.)370 4160 y(Deutsc)m(h)31 b(T)-8 b(asc)m(hen)m(b)s(\177)-48 b(uc)m(her,)31 b(F)-8 b(rankfurt{am{Main.)183 4345 y([69])47 b Fa(R)m(ubin,)35 b(B.)c FF(\(1999{2000\).)48 b(Spherical)29 b(Radon)i(transforms)g(and)f (in)m(tert)m(wining)370 4458 y(fractional)38 b(in)m(tegrals.)67 b(Preprin)m(t)37 b(10.)68 b(The)39 b(Hebrew)g(Univ)m(ersit)m(y)f (Jerusalem,)370 4571 y(Israel.)183 4757 y([70])47 b Fa(R)m(ubin,)42 b(B.)37 b FF(\(2000\).)62 b(In)m(v)m(ersion)36 b(form)m(ulas)g(for)h (the)g(spherical)e(Radon)h(trans-)370 4869 y(form,)27 b(the)h(generalized)f(cosine)g(transform)f(and)h(in)m(tert)m(wining)e (fractional)i(in)m(te-)370 4982 y(grals.)40 b(Preprin)m(t.)f(The)30 b(Hebrew)g(Univ)m(ersit)m(y)f(Jerusalem,)h(Israel.)183 5168 y([71])47 b Fa(R)m(ubin,)27 b(B.)f(and)f(R)-8 b(y)i(abogin,)27 b(D.)c FF(\(1999{2000\).)32 b(The)22 b FB(k)s FF({dimensional)f(Radon) 370 5281 y(transform)28 b(on)i(the)g FB(n)p FF({sphere)e(and)h(related) h(w)m(a)m(v)m(elet)h(transforms.)39 b(Preprin)m(t)28 b(6.)370 5394 y(The)h(Hebrew)h(Univ)m(ersit)m(y)g(Jerusalem,)g(Israel.) p eop %%Page: 74 79 74 78 bop 581 282 a FF(74)2172 b Fy(BIBLIOGRAPHY)581 539 y FF([72])47 b Fa(Sant)-6 b(al)1091 531 y(\023)1087 539 y(o,)49 b(L.)43 b FF(\(1976\).)81 b Ft(Inte)-5 b(gr)g(al)46 b(Ge)-5 b(ometry)46 b(and)g(Ge)-5 b(ometric)45 b(Pr)-5 b(ob)g(ability)p FF(.)768 652 y(Addison-W)d(elsey)g(,)30 b(Reading,)g(Mass.)581 840 y([73])47 b Fa(Schneider,)42 b(R.)c FF(\(1993\).)65 b Ft(Convex)40 b(Bo)-5 b(dies.)40 b(The)g(Brunn{Minkowski)g(The-)768 953 y(ory)p FF(.)49 b(Encyclop)s(edia)31 b(of)i(mathematics)g(and)f(its)g(applications)f (44.)j(Cam)m(bridge)768 1066 y(Univ)m(ersit)m(y)c(Press,)g(Cam)m (bridge.)581 1254 y([74])47 b Fa(Schneider,)f(R.)40 b FF(\(1995\).)74 b(Isop)s(erimetric)39 b(inequalities)f(for)i (in\014nite)f(h)m(yp)s(er-)768 1367 y(plane)29 b(systems.)41 b Ft(Discr)-5 b(ete)33 b(Comput.)g(Ge)-5 b(om.)32 b FC(13,)f FF(609{627.)581 1555 y([75])47 b Fa(Schneider,)30 b(R.)d FF(\(1999\).)38 b(A)28 b(dualit)m(y)e(for)h(Poisson)g(\015ats.)36 b Ft(A)-5 b(dv.)29 b(Appl.)i(Pr)-5 b(ob)g(ab.)768 1668 y(\(SGSA\))34 b FC(31,)d FF(63{69.)581 1856 y([76])47 b Fa(Semy)-6 b(anistyi,)25 b(V.)f(I.)c FF(\(1961\).)27 b(Homogeneous)22 b(functions)d(and)h(some)h(problems)768 1969 y(of)i(in)m(tegral)g(go)s(emetry)i(in)d(spaces)h(of)h(constan)m(t) g(curv)-5 b(ature.)29 b Ft(Soviet)d(Math.)h(Dokl.)768 2082 y FC(2,)k FF(59{62.)581 2270 y([77])47 b Fa(Semy)-6 b(anistyi,)27 b(V.)g(I.)c FF(\(1963\).)31 b(Some)23 b(in)m(tegral)g (transformations)g(and)f(in)m(tegral)768 2383 y(geometry)30 b(in)c(an)i(elliptic)e(space.)38 b Ft(T)-7 b(rudy)31 b(Sem.)g(V)-7 b(ektor.)30 b(T)-7 b(enzor.)31 b(A)n(nalizu)k FC(12,)768 2496 y FF(397{441.)44 b(\(in)29 b(Russian\).)581 2684 y([78])47 b Fa(Spod)n(arev,)c(E.)38 b FF(\(2000\).)67 b(Isop)s(erimetric)36 b(problems)h(and)h(roses)g(of)g(in)m(tersec-)768 2797 y(tions)29 b(for)g(stationary)g(\015at)g(pro)s(cesses.)39 b(In)28 b(Jenaer)i(Sc)m(hriften)d(zur)i(Mathematik)768 2910 y(und)42 b(Informatik)h(Math/Inf/00/31.)83 b(F)-8 b(riedric)m(h{Sc)m(hiller)41 b(Univ)m(ersit)m(y)i(Jena.)768 3023 y(Submitted)28 b(to)k(Math.)f(Nac)m(hr.)581 3211 y([79])47 b Fa(Spod)n(arev,)55 b(E.)48 b FF(\(2000\).)94 b(On)46 b(the)i(rose)g(of)f(in)m(tersections)g(for)h(stationary)768 3324 y(\015at)e(pro)s(cesses.)84 b(In)45 b(Jenaer)g(Sc)m(hriften)f(zur) h(Mathematik)h(und)e(Informatik)768 3437 y(Math/Inf/00/11.)g(F)-8 b(riedric)m(h{Sc)m(hiller)27 b(Univ)m(ersit)m(y)i(Jena.)581 3625 y([80])47 b Fa(Spod)n(arev,)32 b(E.)e FF(\(2001\).)42 b(Cauc)m(h)m(y{Kub)s(ota{t)m(yp)s(e)31 b(in)m(tegral)f(form)m(ulae)f (for)h(the)768 3738 y(generalized)c(cosine)g(transforms.)33 b(In)25 b(Jenaer)i(Sc)m(hriften)e(zur)g(Mathematik)i(und)768 3851 y(Informatik)i(Math/Inf/13/01.)43 b(F)-8 b(riedric)m(h{Sc)m (hiller)27 b(Univ)m(ersit)m(y)i(Jena.)40 b(to)31 b(ap-)768 3964 y(p)s(ear)h(in)e(Izv.)j(Ak)-5 b(ad.)32 b(Nauk)g(Armen.,)h(Mat.)g ([J.)f(Con)m(temp.)h(Math.)g(Anal.,)f(Ar-)768 4076 y(men.)e(Acad.)h (Sci.].)581 4265 y([81])47 b Fa(Spod)n(arev,)36 b(E.)d FF(\(2001\).)51 b(On)32 b(the)h(rose)g(of)g(in)m(tersections)g(for)f (stationary)i(\015at)768 4378 y(pro)s(cesses.)40 b Ft(A)-5 b(dv.)33 b(Appl.)g(Pr)-5 b(ob)g(ab.)32 b FC(33,)f FF(584{599.)581 4566 y([82])47 b Fa(Sto)n(y)-6 b(an,)45 b(D.,)j(Kend)n(all,)d(W.)e(S.)h (and)g(Mecke,)i(J.)39 b FF(\(1995\).)72 b Ft(Sto)-5 b(chastic)768 4679 y(Ge)g(ometry)34 b(and)g(its)f(Applic)-5 b(ations)32 b FF(second)f(ed.)40 b(Wiley)-8 b(,)30 b(Chic)m(hester.)581 4867 y([83])47 b Fa(Strichar)-6 b(tz,)46 b(R.)g(S.)40 b FF(\(1973\).)76 b(Harmonic)40 b(analysis)g(on)h(h)m(yp)s(erb)s (oloids.)69 b Ft(J.)768 4980 y(F)-7 b(unct.)33 b(A)n(nal.)d FC(12,)h FF(341{383.)581 5168 y([84])47 b Fa(Thomas,)31 b(C.)d FF(\(1984\).)37 b(Extrem)m(um)27 b(prop)s(erties)f(of)h(the)h (in)m(tersection)f(densities)768 5281 y(of)41 b(stationary)g(Poisson)f (h)m(yp)s(erplane)f(pro)s(cesses.)71 b Ft(Math.)43 b(Op)-5 b(er)g(ationsforsch.)768 5394 y(Statist.)34 b(Ser.)e(Statistik)41 b FC(15,)31 b FF(443{449.)p eop %%Page: 75 80 75 79 bop 183 282 a Fy(BIBLIOGRAPHY)2172 b FF(75)183 539 y([85])47 b Fa(Vilenkin,)36 b(N.)h(Y.)g(and)e(Klimyk,)i(A.)g(U.)32 b FF(\(1991\).)49 b Ft(R)-5 b(epr)g(esentation)38 b(of)d(Lie)370 652 y(gr)-5 b(oups)38 b(and)h(sp)-5 b(e)g(cial)39 b(functions.)e(V.)g (1:)52 b(Simplest)38 b(Lie)g(gr)-5 b(oups,)39 b(sp)-5 b(e)g(cial)39 b(func-)370 764 y(tions)29 b(and)g(inte)-5 b(gr)g(al)30 b(tr)-5 b(anforms)28 b FF(v)m(ol.)e(72)g(of)g Ft(Mathematics)k(and)f(its)f(applic)-5 b(ations)370 877 y(\(Soviet)33 b(series\))p FF(.)40 b(Klu)m(w)m(er,)30 b(Dordrec)m(h)m(t.)183 1065 y([86])47 b Fa(Vilenkin,)36 b(N.)h(Y.)g(and)e(Klimyk,)i(A.)g(U.)32 b FF(\(1992\).)49 b Ft(R)-5 b(epr)g(esentation)38 b(of)d(Lie)370 1178 y(gr)-5 b(oups)36 b(and)g(sp)-5 b(e)g(cial)36 b(functions.)f(V.)f(3:)47 b(Classic)-5 b(al)37 b(and)f(quantum)f(gr)-5 b(oups)36 b(and)370 1291 y(sp)-5 b(e)g(cial)45 b(functions)e FF(v)m(ol.)h(75)f (of)g Ft(Mathematics)j(and)f(its)f(applic)-5 b(ations)47 b(\(Soviet)370 1404 y(series\))p FF(.)40 b(Klu)m(w)m(er,)30 b(Dordrec)m(h)m(t.)183 1591 y([87])47 b Fa(Vilenkin,)36 b(N.)h(Y.)g(and)e(Klimyk,)i(A.)g(U.)32 b FF(\(1993\).)49 b Ft(R)-5 b(epr)g(esentation)38 b(of)d(Lie)370 1704 y(gr)-5 b(oups)26 b(and)f(sp)-5 b(e)g(cial)26 b(functions.)f(V.)f(2:)39 b(Class)25 b(I)g(r)-5 b(epr)g(esentations,)29 b(sp)-5 b(e)g(cial)26 b(func-)370 1817 y(tions)j(and)g(inte)-5 b(gr)g(al)30 b(tr)-5 b(anforms)28 b FF(v)m(ol.)e(74)g(of)g Ft(Mathematics)k(and)f(its)f(applic)-5 b(ations)370 1930 y(\(Soviet)33 b(series\))p FF(.)40 b(Klu)m(w)m(er,)30 b(Dordrec)m(h)m(t.)183 2118 y([88])47 b Fa(Weil,)f(W.)39 b FF(\(1976\).)71 b(Cen)m(trally)38 b(symmetric)h(con)m(v)m(ex)j(b)s(o) s(dies)37 b(and)i(distribu-)370 2231 y(tions.)g Ft(Isr)-5 b(ael)34 b(J.)f(Math.)d FC(24,)h FF(352{367.)183 2418 y([89])47 b Fa(Weil,)40 b(W.)35 b FF(\(1982\).)59 b(Zonoide)34 b(und)g(v)m(erw)m(andte)j(Klassen)d(k)m(on)m(v)m(exer)j(K\177)-45 b(orp)s(er.)370 2531 y Ft(Monatsh.)33 b(Math.)e FC(94,)g FF(73{84.)p eop %%Page: 76 81 76 80 bop 581 1006 a FD(List)77 b(of)g(sp)6 b(ecial)78 b(sym)-6 b(b)6 b(ols)581 1469 y FF([)p FA(\001)p FB(;)15 b FA(\001)p FF(],)32 b(7)581 1583 y([)p FA(\001)p FB(;)15 b FA(\001)p FF(])721 1597 y Fv(0)762 1583 y FF(,)31 b(51)581 1697 y FA(\021)p FF(,)f(8)581 1785 y FA(\030)581 1814 y FF(=)652 1810 y(,)g(8)581 1924 y Fx(\003)p FF(,)g(30)581 2038 y FA(4)p FF(,)h(30)581 2151 y FA(4)662 2165 y Fv(0)701 2151 y FF(,)g(30)581 2265 y FA(j)21 b(\001)f(j)p FF(,)31 b(10)581 2378 y FA(k)26 b(\001)f(k)p FF(,)31 b(18)581 2492 y FA(k)26 b(\001)f(k)747 2511 y Fv(\()p Fz(\013)p Fv(\))852 2492 y FF(,)31 b(40)581 2615 y FA(k)26 b(\001)f(k)747 2582 y Fs(?)747 2647 y Fv(\()p Fz(\013)p Fv(\))852 2615 y FF(,)31 b(40)581 2741 y FA(k)26 b(\001)f(k)747 2755 y Fz(p)787 2741 y FF(,)31 b(40)581 2854 y FA(k)26 b(\001)f(k)747 2876 y Fk(S)792 2857 y Fp(d)p Fn(\000)p Fo(1)912 2854 y FF(,)30 b(47)581 2968 y FA(6k)p FF(,)h(64)581 3081 y FB(<)25 b FA(\001)p FB(;)15 b FA(\001)26 b FB(>)p FF(,)31 b(10)581 3195 y FB(<)25 b FA(\001)p FB(;)15 b FA(\001)26 b FB(>)864 3217 y Fk(S)909 3198 y Fp(d)p Fn(\000)p Fo(1)1028 3195 y FF(,)k(47)581 3309 y FB(<)25 b(a)725 3323 y Fv(1)765 3309 y FB(;)15 b(:)g(:)g(:)h(;)f(a)1014 3324 y Fz(k)1083 3309 y FB(>)p FF(,)30 b(6)581 3517 y FB(A)649 3484 y Fz(t)679 3517 y FF(,)h(6)581 3726 y FB(B)650 3741 y Fz(\020)690 3726 y FF(,)f(14)581 3840 y FB(b)p FF(\()p FA(\001)p FF(\),)i(31)581 3954 y FB(\014)632 3968 y Fz(n)680 3954 y FF(,)e(11)581 4162 y FB(C)7 b(ar)s(d)p FF(\()p FB(A)p FF(\),)31 b(5)581 4276 y FA(C)5 b FF(\()p FB(\025;)15 b(\022)s FF(\),)31 b(7)581 4390 y FB(C)7 b FF(\()p FB(X)g FF(\),)31 b(25)581 4503 y FB(C)653 4459 y Fz(p)646 4515 y(e)692 4503 y FF(\()p FC(S)785 4470 y Fz(d)p Fs(\000)p Fv(1)916 4503 y FF(\),)g(26)581 4617 y FB(C)653 4584 y Fs(1)646 4639 y Fz(e)727 4617 y FF(\()p FC(S)820 4584 y Fv(2)880 4617 y FA(\002)20 b FC(S)1029 4584 y Fv(2)1069 4617 y FF(\),)31 b(54)581 4657 y Fq(\000)623 4730 y FB(C)688 4744 y Fz(e)725 4730 y FF(\()p FC(S)818 4697 y Fz(d)p Fs(\000)p Fv(1)949 4730 y FF(\))984 4657 y Fq(\001)1026 4678 y Fs(\003)1065 4730 y FF(,)g(62)581 4939 y Fr(D)p FF(\()p FB(\025;)15 b(\022)s FF(\),)31 b(64)581 5053 y FB(d)p FF(\()p FA(\001)p FB(;)15 b FA(\001)p FF(\),)33 b(29)581 5166 y FB(diag)s FF(\()p FB(d)835 5180 y Fv(1)877 5166 y FB(;)15 b(:)g(:)g(:)h(;)f(d)1125 5180 y Fz(m)1192 5166 y FF(\),)31 b(12)581 5280 y FB(d\021)s FF(,)g(25)581 5394 y FB(\016)621 5408 y Fz(ij)682 5394 y FF(,)g(12)2221 1469 y FB(\016)2261 1484 y Fz(\030)2299 1469 y FF(\()p FA(\001)p FF(\),)h(18)2221 1664 y FB(e)2263 1678 y Fz(i)2291 1664 y FF(,)f(31)2221 1776 y(\()p FB(\021)s FF(\))2339 1743 y Fs(?)2339 1804 y Fz(\030)2399 1776 y FF(,)g(31)2221 1971 y FB(F)13 b FF(\()p FB(k)s(;)i(d)p FF(\),)32 b(5)2221 2084 y Fr(F)p FF(,)e(5)2240 2172 y(^)2221 2196 y FB(f)9 b FF(,)31 b(61)2221 2391 y FB(G)p FF(\()p FB(k)s(;)15 b(d)p FF(\),)32 b(5,)f(7)2221 2503 y Fr(G)p FF(,)g(5)2221 2616 y FB(g)2267 2583 y Fs(?)2326 2616 y FF(,)g(26)2221 2811 y Fw(H)18 b FF(,)36 b(51)2221 2923 y FB(h)2273 2937 y Fz(K)2342 2923 y FF(\()p FB(x)p FF(\),)31 b(16)2221 3118 y FB(I)2261 3132 y Fz(A)2318 3118 y FF(\()p FA(\001)p FF(\),)g(6)2221 3231 y FA(=)p FF(,)f(51)2221 3343 y FA(=)2302 3270 y Fq(\000)2343 3343 y Fw(K)2408 3310 y Fv(4)2453 3270 y Fq(\001)2495 3343 y FF(,)h(51)2221 3538 y FB(K)7 b FF(,)30 b(26)2221 3651 y FB(K)7 b(er)s FF(\()p FA(\001)p FF(\),)31 b(60)2221 3763 y Fw(K)2286 3730 y Fv(4)2331 3763 y FF(,)g(51)2221 3876 y FB(k)2268 3891 y Fz(d)2309 3876 y FF(,)f(6)2221 4070 y FC(L)p FF(,)g(15)2221 4183 y FC(L)2284 4197 y Fk(0)2329 4183 y FF(,)g(15)2221 4296 y FB(L)p FA(f\001)p FB(;)15 b FA(\001g)p FF(,)32 b(52)2221 4409 y FB(L)2283 4376 y Fz(p)2322 4409 y FF(\()p FB(X)7 b FF(\),)32 b(28)2221 4522 y FA(L)p FF(\()p FB(k)s(;)15 b(d)p FF(\),)32 b(8)2221 4635 y(\003\()p FA(\001)p FF(\),)f(6)2221 4748 y FB(\025)p FF(,)f(5)2221 4942 y FC(M)p FF(\()p FB(X)7 b FF(\),)32 b(19)2244 5033 y FC(~)2221 5055 y(M)p FF(\()p FB(X)7 b FF(\),)32 b(18)2221 5168 y(\()p FB(m)20 b FF(+)2457 5132 y Fv(1)p 2457 5147 36 4 v 2457 5199 a(2)2502 5168 y FF(\)!,)31 b(56)2221 5281 y FA(M)p FF(,)g(5)2221 5394 y Fr(M)p FF(,)g(5)2030 5622 y(76)p eop %%Page: 77 82 77 81 bop 183 282 a Fy(LIST)29 b(OF)h(SPECIAL)f(SYMBOLS)1629 b FF(77)183 539 y FB(N)256 554 y Fz(k)r(r)332 539 y FF(\()p FB(\021)s FF(\),)32 b(64)183 652 y FB(N)256 667 y Fz(k)r(r)332 652 y FF(\()p FB(a;)15 b(\021)s FF(\),)32 b(64)183 765 y FB(\027)228 780 y Fz(d)268 765 y FF(\()p FA(\001)p FF(\),)g(5)183 878 y FB(\027)234 834 y Fz(\021)228 905 y(i)275 878 y FF(\()p FA(\001)p FF(\),)g(6)183 1080 y FB(O)s FF(\()p FB(d)p FF(\),)f(8)183 1193 y FB(!)240 1208 y Fz(d)280 1193 y FF(,)f(8)183 1307 y FB(!)240 1322 y Fz(d)280 1307 y FF(\()p FA(\001)p FF(\),)h(8)183 1420 y FB(!)243 1376 y Fz(\021)240 1432 y(r)284 1420 y FF(\()p FA(\001)p FF(\),)h(28)183 1554 y FB(!)243 1509 y Fz(v)279 1486 y Fn(?)331 1509 y Fz(;y)240 1583 y(d)p Fs(\000)p Fv(1)392 1554 y FF(\()p FA(\001)p FF(\),)g(29)183 1755 y FB(p)p FF(\()p FB(K)7 b FF(\),)30 b(17)183 1869 y FB(P)241 1883 y Fz(n)288 1869 y FF(\()p FB(t)p FF(\),)h(55)183 1982 y FB(P)240 1998 y Fz(~)-34 b(n)288 1982 y FF(\()p FB(y)368 1996 y Fv(1)407 1982 y FB(;)15 b(:)g(:)g(:)i(;)e(y)654 1997 y Fz(d)p Fs(\000)p Fz(k)788 1982 y FF(\),)31 b(59)183 2095 y FB(P)13 b(r)295 2110 y Fz(\020)334 2095 y FF(\()p FA(\001)p FF(\),)32 b(13)183 2208 y(\010)249 2175 y Fz(d)249 2236 y(k)291 2208 y FF(,)f(5)183 2322 y(\010)249 2289 y Fz(d)249 2349 y(k)291 2322 y FF(\()p FA(\001)p FF(\),)g(6)183 2435 y(\010)249 2402 y Fz(d)249 2462 y(k)311 2435 y FA(\014)20 b FB(\021)s FF(,)31 b(64)183 2637 y FA(j)p FB(q)s FA(j)p FF(,)g(51)189 2750 y(\026)-51 b FB(q)r FF(,)31 b(51)189 2863 y(^)-51 b FB(q)r FF(,)31 b(51)183 2976 y FB(q)227 2943 y Fs(\000)p Fv(1)321 2976 y FF(,)f(51)183 3090 y FB(q)224 3105 y Fz(k)r(l)288 3090 y FF(,)g(9)183 3291 y FB(R)q FF(,)g(28)183 3405 y FB(R)252 3419 y Fz(r)290 3405 y FF(,)g(28)183 3518 y FB(R)252 3532 y Fz(ij)312 3518 y FF(,)h(28)183 3631 y FA(<)p FF(,)f(51)183 3744 y Fw(R)r(P)323 3708 y Fz(d)p Fs(\000)p Fv(1)454 3744 y FF(,)h(8)183 3858 y FB(r)s FF(\()p FA(\001)p FF(\),)g(6)183 3971 y FB(\032)p FF(\()p FA(\001)p FB(;)15 b FA(\001)p FF(\),)32 b(5)183 4084 y FB(\032)230 4099 y Fz(k)272 4084 y FF(\()p FB(K)q(;)15 b FA(\001)p FF(\),)33 b(16)183 4286 y FC(S)241 4253 y Fz(d)p Fs(\000)p Fv(1)371 4286 y FF(,)e(6)183 4399 y FC(S)241 4361 y Fz(d)p Fs(\000)p Fv(1)241 4423 y(+)371 4399 y FF(,)g(8)183 4512 y FC(S)241 4479 y Fz(r)r Fs(\000)p Fv(1)241 4535 y Fz(\021)369 4512 y FF(,)f(28)183 4626 y FB(S)5 b(O)s FF(\()p FB(d)p FF(\),)31 b(8)183 4739 y FB(S)5 b(tab)p FF(\()p FA(\001)p FF(\),)31 b(50)183 4852 y FB(\033)s FF(\()p FA(\001)p FF(\),)g(28)183 4965 y(\006)249 4932 y Fz(d)249 4993 y(k)291 4965 y FF(,)g(60)183 5167 y FB(T)13 b FF(,)30 b(25)183 5280 y FB(T)236 5294 y Fz(ij)296 5280 y FF(,)h(6,)g(25)183 5394 y FB(T)249 5361 y Fz(\013)236 5419 y(ij)298 5394 y FF(,)f(26)1840 516 y(~)1822 539 y FB(T)1888 506 y Fz(\013)1875 564 y(ij)1938 539 y FF(,)g(26)1822 652 y FB(\022)s FF(\()p FA(\001)p FF(\),)h(6)1822 764 y FB(\022)1868 731 y Fs(?)1927 764 y FF(,)f(26)1822 877 y FB(\022)1865 891 y Fz(K)1933 877 y FF(,)h(16)1822 1073 y FB(v)1866 1087 y Fz(i)1895 1073 y FF(\()p FA(\001)p FF(;)15 b FA(\001)p FF(\),)32 b(27)1822 1186 y FB(V)21 b FF(\()p FA(\001)p FB(;)15 b(:)g(:)g(:)i(;)e FA(\001)p FF(\),)31 b(14)1822 1299 y FB(V)1875 1313 y Fz(i)1904 1299 y FF(\()p FA(\001)p FF(\),)g(31)1822 1412 y FB(V)1875 1427 y Fz(f)1921 1412 y FF(\()p FB(d;)15 b(k)s(;)g(j)5 b FF(\),)33 b(43)1822 1525 y FB(V)21 b(ol)r FF(\()p FB(\030)t FF(\),)31 b(31)1822 1638 y FB(V)21 b(ol)r FF(\()p FB(a)2052 1652 y Fv(1)2091 1638 y FB(;)15 b(:)g(:)g(:)i(;)e(a)2341 1653 y Fz(k)2384 1638 y FF(\),)31 b(6)1841 1834 y(\026)-64 b FB(w)s FF(\()p FB(L)p FF(\),)31 b(17)1822 2030 y FB(X)7 b FF(,)31 b(18)1822 2143 y FB(X)1897 2157 y Fv(2)1937 2143 y FF(\(\010)2038 2110 y Fz(d)2038 2170 y(k)2081 2143 y FF(\),)g(7)1822 2255 y FB(X)1897 2270 y Fz(k)1940 2255 y FF(\(\010)2041 2223 y Fz(d)2041 2283 y(d)p Fs(\000)p Fv(1)2172 2255 y FF(\),)g(23)1822 2378 y FB(\030)1866 2345 y Fs(?)1925 2378 y FF(,)g(6)1822 2573 y Fw(Z)1887 2587 y Fv(+)1942 2573 y FF(,)g(6)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF