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| Schneider R. — Convex Bodies: The Brunn-Minkowski Theory |
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| Предметный указатель |
Falconer, K.J. Appendix
Faro Rivas, R. 3.3
Fary, I. 5.1 6.5 7.1
Favard, J. 2.2 4.3 6.2 6.4 6.6 6.7
Federcr, H. 1.5 2.2 4.2 4.4—4.6 6.2
Fedotov, V.P. 2.1 2.2 7.1
Fejes Toth, L. 6.2
Feller, W. 1.5 2.5
Fenchel, W. 1.7 2.2 3.1 3.3 4.2 4.3 5.1 5.3 5.4 6.1—6.4 6.6 6.7 7.1—7.3
Ferrers, N.M. 5.4
Fesmire, S. 3.1
Fet, A.I. 7.2
Figiel, T. 3.5
Filliman, P. 3.5
Fillmore, J.R. 4.3 Appendix
Firev, W.J. 1.7 2.1 2.5 3.2 3.3 3.5 4.3 4.5 4.6 5.1 5.3 6.1 6.2 6.8 7.1 7.4
First category 119
First fundamental form 105
Fisher, J.C. Appendix
Flaherty, F.J. 4.4
Flanders, H 5.4 6.2
Flat xi 121
Flatto, L. 2.3
Florian, A. 1.8 2.4 6.2
Focke, J. 3.5 Appendix
Folkman, J.H. 3.1
Form body 321
Fourneau, R. 1.3 3.1 3.2 7.3
Franz, G. 6.1
Freely rolling convex body 150
Freely sliding convex body 143
Fu, J.H. G. 4.4 4.5
Fuglede, B. 1.4 6.2 Appendix
Fujiwara, M. 2.2 3.5 Appendix
Full set of inequalities 333
Fully additive function 174
Function, additive 173
Function, barycentre 21
Function, closed convex 35
Function, concave 21
Function, conditionally positive definite 194
Function, conjugate 36
Function, convex 21
Function, curvature 419
Function, fully additive 174
Function, gauge 43
Function, indicator 22
Function, Minkowski additive 41
Function, mixed curvature 115
Function, positive definite 194
Function, positively homogeneous 26
Function, proper 21
Function, radial 44 416
Function, rigid motion invariant 42
Function, semiaxis 46
Function, subadditive 26
Function, sublinear 26
Function, support 37 176
Funk — Hecke theorem 431
Gage, M.E. 6.2
Gale, D. 1.7 3.2
Gallivan, S. 2.1
Gardner, R.J. 2.1
Gauge function 43
Gauss map 104
Gauss — Kronecker curvature 106
Gcominimal surface area 425
Geivaerts, M. 3.1 3.2
General Brunn — Minkowski theorem 339
General relative position 239
Generalised curvature measure 202
Generalised normal bundle 198
Generalised zonoid 187
Generating measure 184
Generic property 119
Gensel, B. 3.5
Geppert, H. 6.7 Appendix
Gericke, H. 5.4 6.4 Appendix
Giannopoulos, A.A. 7.4
Giertz, M. 7.4
Gine, E. 1.8 3.1
Gluck, H. 7.1
Godbersen, C 7.3
Godet-Thobie, Ch, 1.8
Goikhman, D.M. 7.1
Goldberg, M. 3.5
Goodey, P.R. 3.2 3.5 4.2 4.3 4.5 4.6 5.1 5.3 6.6 7.1 7.2 7.4 Appendix
Goodman, A.W. 5 4
Gordon, Y. 3.5
Gortler, H. 5.1 Appendix
Gozdz, S. Appendix
Grain distribution 256
Gray, A. 4.2
Green, J.W. 1.7
Grinberg, E. L 6.8 7.4
Gritzman, P. 3.1 3.5 6.4
Groemer, H. 3.1 3.4 3.5 4.4 4.5 5.1 5.2 6.1 6.2 6.6 7.2 7.4 Appendix
Gromov, M. 6.1 6.3
Gruber, P.M. 1.8 2.4 2.6 3.2 7.3
Grunbaum, B. 1.1 1.3 1.8 2.1 2.4 3.1—3.4 7.1 7.3
Grzaslewicz, R. 3.2
Guggenheimer, H. 6.1 7.2 7.4
H-convex set 350
Hadamard, J. 2.5
Hadwiger, H. 1.8 3.1 3.3—3.5 4.2 4.4 4.5 5.3 5.4 6.1—6.3 6.5 6.7 6.8 7.4
Hahn, F. H 1.8 3.1
Hahn, M.G. 1.8 3.1
Half-flat xi
Half-open segment xi
Halmos, P.R. 3.5
Hammer body 178
Hammer, P.C. 3.1 3.3
Haralick, R.M. 3.1
Harmonic isepiphanic inequality 387
Harmonic quermassintegral 386
Harmonic Urysohn inequality 387
Hartmann, P. 2.5
Hausdorff distance 48
Hausdorff metric 48
Hausdorff, F. 1.8
Hayashi, T. 5.4 Appendix
Heijenoort, J. van 2.5
Heil, E. 1.8 5.3 6.2 6.8 7.4
Heine, R. 6.3
Helly's theorem 4
Helly, E. 11
Henstock, R. 6.1
Herglotz, G. 4.2 7.1
Hertel, E. 3.4
Hilbert, D. 6.1 6.3
Hildenbrand, W. 1.8 3.1 3.3 3.5
Hille, E. 1.7
Hiriart-Urruty, J.-B. 1.5
Hirose, T. 1.8
Holmes, R.B. 1.3
Holmes, R.D. 6.2 7.4
Homothet xii
Homothety xii
Homothety invariant M-class 164
Hormander, L. 1.8
Horn, B.K. P. 7 1
Howard, R. 3.5
Howe, R. 2.6
Huck, H. 5.3
Hull, affine x
Hull, convex 2
Hull, linear x
Hull, positive 2
Hurwitz, A. 4.3 Appendix
Husain, T. 3.1
| Hypermetric vector space 194
Hyperplane xi
Improper rigid motion xii
Inclusion-Exclusion Principle 174
Indecomposable convex body 150
Indecomposable endomorphism 172
Indecomposable set 157
INDEX 219 223
Indicator function 22
Inequality, Aleksandrov — Fenchel 327
Inequality, Bieberbach 318
Inequality, Blaschke — Santal 6 387 425
Inequality, Brunn — Minkowski 309
Inequality, Busemann 417
Inequality, Busemann — Petty 418
Inequality, difference body 409
Inequality, extended 383
Inequality, harmonic isepiphanic 387
Inequality, harmonic Urysohn 387
Inequality, isodiametric 318
Inequality, isoperimetric 318 325
Inequality, isoperimetric affine 419
Inequality, Jensen 22
Inequality, Minkowski 317 321
Inequality, Petty projection 387 416
Inequality, Urysohn 318
Infimal convolution 37
Inner parallel body 134 350
Inner radius 130
Inradius 135
Inradius, relative 135
Integral geometry 253
Integral of mean curvature 210
Intensity 256
Internal point 7
Intersection body 416
Intersectional family of sets 173
Intrinsic moment 304
Intrinsic volume 210
Inzinger, R. Appendix
Irreducible convex body, Hammer's definition 141
Irreducible convex body, Shephard's definition 156
Isodiametric inequality 318
Isolated face 79
Isoperimetric inequality 318 325
Isoperimetric inequality, affine 419
Isoperimetric ratio 321
Isoperimetrix 416
Isotropic random closed set 256
Ivanov, B.A. 2.3
Jacobs, K. 1.4
Jaglom, I.M. 3.5
Jensen's inequality 22
Jessen radius of curvature 117
Jongmans, F. 1.8 2.2 3.1 3.2
Jourlin, M. 3.1
k-curved convex body 121
Kahn, J. 6.3
Kakeya, S. 3.5 Appendix
Kallay, M. 1.7 2.4 3.2 4.3
Kalman, J.A. 1.4
Kameneckii, I.M. 3.5 Appendix
Karcher, H. 3.2
Katsurada, Y. 5.3
Kellerei, H.G. 4.5
Kellerer, A.M. 4.5
Kendall, W. S 3.1 4.5
Kenderov, P. 2.6
Kharazishvili, A.B. 6.1
Khovanskii, A.G. 6.3 6.8
Kiener, K. 7.4
Kinczes, J. 3.2
Kirchberger's theorem 15
Kirchberger, P. 1.3
Kiselman, C.O. 2.5
Klee, V.L. 1.1 1.3 1.4 1.7 2.1—2.3 2.6 3.1 3.2 3.4 7.3
Klein, E. 1.8
Klima, V. 2.6
Kloetzler, R. 3.5
Kneser, H. 1.7 4.2 6.1 7.1
Knothe, H. 6.1 6.2 6.6 Appendix
Kohlmann, P. 4.4 5.3 7.2
Koutroufiotis, D. 3.2 7.2
Krein — Milman theorem 20 162
Krein, M. 1.4
Kruskal, J.B. 2.1
Kubota's integral recursion 295
Kubota, T. 4.3 5.4 6.6 Appendix
Kuehnel, W„ 4.4
Kuiper, N.H. 4.4
Kuratowski, K. 1.8
Kutateladze, S.S. 7.1
Lafontaine, J. 4.4
Lagarias, J. C 6.8
Laget, B. 3.1
Larman, D.G. 2 1—2.3 7.1 7.4
Lashof, R.K. 2.5
Lebesgue, H. 3.5
Leichtweiss, K. 1.7 5.1 6 1 6.3 6.6 7.2 7.4
Leindler, L. 6.1
Leltl, G. 1.8
Length measure 215
Lenz, H. 3.4
lessen, B. 1.5 1.7 2.5 4.2 5.1 6.4 7.1 7.2
Letac, G. 4.3
Levy, P. 3.5
Lewis, J.E. 3.1
Lewy, H. 7.1
Liapounoff, A.A. 3.5
Lieb, E.H. 6.1
Limit section 118
Lindeloef, L. 6 2
Lindenstrauss, J. 3.3 3.5 6.1 6.2 7.2 7.4 Appendix
Lindquist, N.F. 3.5
Line xi
Line-free set 17
linear combination x
Linear extension 181
Linear hull x
Linearity direction 26
Linhart, J. 3.5
Linke, Ju, E. 1.8
Little, J.J. 7.1
Ljasenko, N.N. 3.1
Local parallel set 198
Locally defined measure 206
Locally similar (strongly isomorphic) polytope 101
Log-concave measure 315
Log-concave sequence 334
Loritz, A. 6.6
Lower curvature 104
Lower radius of curvature 104
Lusternik (Lyusternik), L.A. 6.1
Lutwak, E, 6.1 6.8 7.1 7.4
M-class 164 1%
Macbeath region 81
Macbeath, A.M. 1.8 6.1 7.4
Maehara, H. 3.1 3.2
Mahler, K. 7.4
Makai, E. 4.2 7.1 7.3
Mani-Levitska (Mani), P. 2.1 2.4 3.4 4.5
Map, Gauss 104
Map, meagre subset 119
Map, Minkowski additive 166
Map, radial 79
Map, reverse 78 107
Map, spherical image 78 104
Map, Weingarten 105
Marti, J.T. 1.2 1.3 1.5 2.2
Martin, K. 2.1
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