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Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Abardia, J., 367, 580, 622Aczel, J., 349Ader, O. B., 589Adiprasito, K., 137Ahrens, I., 152Alberti, G., 89Aleksandrov, A. D., xi, xvi, 31, 58, 60, 89, 90,
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Blind, R., 487Blumenthal, L. M., 72Bobkov, S. G., 520, 522, 523, 525, 614Bohm, J., 338Boroczky, K., 462Boroczky, K. J., 34, 380, 389, 393, 445, 495, 504,
Caffarelli, L. A., 380, 462Campi, S., 379, 463, 473, 540, 541, 543, 566, 568,
569, 608, 628Cannarsa, P., 89Caratheodory, C., 3, 8, 540Carlen, E. A., 605Cascos, I., 206Cassels, J. W. S., 150Chai, Y. D., 516Chakerian, G. D., 201, 203, 393, 417, 454, 463,
477, 530, 532, 534, 586Chang, S.–Y. A., 399Chavel, I., 390, 391Cheeger, J., 236Chen, B., 295, 339, 361Chen, F., 569Chen, L.–Y., 393Chen, W., 506, 558Cheng, S.–Y., 462Chern, S. S., 125, 261, 309, 454Chernoff, P. R., 628Cheung, W.–S., 393, 418, 512, 559, 578, 579, 583,
606Choquet, G., 18, 79, 202, 205Chou, K.–S., 462, 500, 506Cianchi, A., 613Cieslak, W., 628Clack, R., 606Coifman, R. R., 623Colesanti, A., 31, 89, 228, 273, 379, 380, 463,
519, 520, 522, 523, 525, 532, 540, 541, 543Collier, J. B., 79Colzani, L., xviiCordero-Erausquin, D., 605Corson, H. H., 79Coupier, D., 541Coxeter, H. S. M., 202Cressie, N., 154Cuoghi, P., 380Curtis, D. W., 70Czipszer, J., 417
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Debs, G., 78Deicke, A., 545, 546Delgado, J. A., 168Dierolf, P., 69Dinghas, A., 71, 152, 310, 378, 379, 388, 390, 417
418, 444, 628Diskant, V. I., 378, 384, 387, 389, 391, 409, 417,
445, 478, 482, 484, 486, 487Dolzmann, G., 552Dor, L. E., 205Dou, J., 506Dresevic, M., 69Duan, X., 516Dubins, L. E., 19Dubois, C., 154Dubuc, S., 380Dudley, R., 32, 72Dunkl, C. F., 179Duporcq, E., 320Dvoretzky, A., 565Dyer, M., 289, 312Dziechcinska-Halamoda, Z., 155
Eckhoff, J., 8, 339Edelstein, M., 79, 154Efimow, N. W., 439Eggleston, H. G., xv, 79, 80, 388, 532, 540Egorychev, G. P., 327Eifler, L. Q., 78Ekeland, I., 150Epelman, M. S., 90Evans, L. C., 31Ewald, G., 60, 91, 103, 104, 152, 170, 429
Fabila, R., 8Falconer, K. J., 628Faro Rivas, I., 188Fary, I., 287, 417, 462, 543, 561Favard, J., 89, 90, 389, 393, 409, 410, 431, 438,
Fish, A., 583Fisher, J. C., 628Flaherty, F. J., 236Flanders, H., 319, 389Flatto, L., 101Fleury, B., 569Florentin, D., 43Florian, A., 71, 392Focke, J., 201, 628Fogel, E., 154Folkman, J., 141, 150Fourneau, R., 15, 154, 169, 533Fradelizi, M., 409, 525, 543, 564, 565Fragala, I., 519, 520, 522, 523Franchi, B., 410Franz, G., 580Freiman, G. A., 445Fresen, D., 563Fu, J. H. G., 31, 228, 236, 261, 262, 366–368Fuglede, B., 19, 388, 391, 628Fujiwara, M., 90, 201, 628Fukuda, K., 154Fusco, N., 391, 392, 628
Gage, M. E., 388, 504, 506Gale, D., 59, 167, 168Gallego, E., 367, 410, 527Gallivan, S., 79Gao, F., 228, 410Gårding, L., 323, 327Gardner, R. J., xvi, 79, 152, 290, 369, 374, 377,
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Goodman, A. W., 320Goodman, J. E., xviiGordon, Y., 203, 525, 565, 566, 594Gozdz, S., 628Gray, A., 223Green, J. W., 60, 603Green, M., 225Grinberg, E. L., 188, 471, 515, 582, 586Gritzmann, P., 154, 202, 289, 312, 408, 409,
Hahn, F. H., 150, 151Hahn, M. G., 73, 154Halmos, P. R., 205Halperin, D., 154Hammer, P. C., 153, 188Han, W., 623Hann, K., 125, 225Haralick, R. M., 151Hartenstine, D., 512Hartman, P., 126
Hartzoulaki, M., 409, 541Hausdorff, F., 68, 69Hayashi, T., 320, 628He, B., 506, 559, 576, 583, 587, 606Heil, E., 69, 201, 298, 310, 389, 390, 393, 565Heine, R., 399Helly, E., 4, 8Henk, M., 224, 506, 588Herglotz, G., 223, 463Hernandez Cifre, M. A., 224, 225, 393, 440Hertel, E., 338Heveling, M., 224Hilbert, D., 378, 398Hildenbrand, W., 69, 151, 205, 207Hille, E., 58Hinderer, W., 227, 361Hiriart-Urruty, J.–B., 32Hirose, T., 69Hobinger, J., 536Hormander, L., xvi, 42, 70, 323, 327, 398Hoffman, L. M., 73Holicky, P., 79Holmes, R. B., 15Holmes, R. D., 391Horn, B. K. P., 462Howard, R., 202, 454, 558Howe, R., 137Hu, C., 506Hu, Y., 497, 566Huang, Q., 505, 583, 609Huang, Y., 506Huck, H., 309Hufnagel, A., 289, 312, 462Hug, D., 89, 125, 127, 132, 152, 205, 224, 225,
Inzinger, R., 628Iosevich, A., xviiIvaki, M. N., 506Ivanov, B. A., 104Ivanov, G. E., 168
Jacobs, K., 18Jaglom, I. M., xvi, 201Jenkinson, J., 595Jensen, E. B. V., 265, 321, 511Jerison, D., 380Jessen, B., 31, 60, 125, 223, 286, 287, 409, 454,
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Jimenez, C. H., 381, 589Jin, H. L., 155John, F., 588, 591Jonasson, J., 534Jongmans, F., 18, 70, 72, 89, 154, 171Jourlin, M., 155Juhnke, F., 588
Kaasalainen, M., 462Kahn, J., 399Kakeya, S., 201, 628Kalinin, B. V., 274Kallay, M., 60, 112, 169, 171, 472Kalman, J. A., 19Kaluza, T., 151Kameneckii, I. M., 201, 628Kampf, J., 223Karasev, R. N., 8, 167Karavelas, M. I., 154Karcher, H., 168Katsnelson, V., 224, 225Katsurada, Y., 309Kelly, P. J., xvKendall, W. S., 151Kenderov, P., 137Khovanskiı, A. G., 327, 340, 363, 398Kiderlen, M., 179, 182, 460, 463, 532Kim, J., 566, 583Kincses, J., 167Kiselman, C. O., 126Klain, D. A., 340, 355, 356, 360, 362, 364, 378
136, 153, 155, 167, 272, 289, 339, 532Klein, E., 69Klima, V., 137Klingenberg, W., 201Klotzler, R., 201Kneser, H., 59, 370, 378, 463Kneser, M., 224Knothe, H., 372, 378, 388, 393, 439, 628Knyazeva, M., 526Konig, H., 586Kohlmann, P., 236, 310, 487Koldobsky, A., xvi, 576, 582–584, 586Kone, H., 622Kopteva, N., 462Koutroufiotis, D., 168, 487Krantz, S. G., 126Krein, M., 18Kropp, R., 227Kruskal, J. B., 78Kubota, T., 319, 320, 409, 438, 472, 628Kuhnel, W., 236
Kuiper, N. H., 236Kuperberg, G., 565, 578Kuppe, M., 236Kuratowski, C., 69Kutateladze, S. S., 462, 463
Lachand-Robert, T., 201Laczkovich, M., 79Lafontaine, J., 236Lagarias, J. C., 327Laget, B., 155Lamberg, L., 462Langevin, R., 526Larman, D., 8, 78–80, 90, 91, 103, 104, 477, 541,
562Lashof, R. K., 125Last, G., 224Laugwitz, D., 57, 587Lay, S. R., xvLebesgue, H., 201Ledoux,M., 614Lee, Y. S., 516Lehec, J., 525Leichtweiß, K., xv, xvi, 59, 287, 327, 398, 438,
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Lv, S., 454, 511, 559, 579, 586, 595Lyusternik, L. A., xvi, 390
Ma, T.–Y., 586, 595Ma, X.–N., 399, 478, 506Macbeath, A. M., 73, 539Maehara, H., 160Maggi, F., 377, 383, 392Mahler, K., 564, 565Makai, E., 223Makai, E., Jr, 462, 533, 541, 564, 566Malkevitch, J., xviiMani-Levitska, P., 15, 79, 261, 331, 332, 339, 541Mao, W., 583Marchaud, A., 535Maresch, G., 609Markessinis, E., 606Marti, J. T., xvi, 10, 15, 31, 89Martin, K., 78Martinez-Maure, Y., 488, 526Martini, H., 73, 201, 202, 418, 532, 541, 578, 582Mase, S., 154Matheron, G., 69, 151, 168, 202, 205, 225, 235,
236, 289, 308, 417, 529Matousek, J., 8Matschke, B., 8Matsumura, S., 409, 628Matveev, V. S., 595Mazur, S., 89McAllister, B. L., 69McCann, R. J., 32, 378McClure, D. E., 558McKinney, R. L., 15McMinn, T. J., 103
Mecke, J., 151Meier, Ch., 295, 319, 346Meissner, E., 201, 319, 320, 628Melzak, Z. A., 137Menger, K., 72Meschkowski, H., 152Meyer, M., 381, 409, 438, 525, 530, 536, 541,
543, 556, 560, 562–566, 583, 594Meyer, P., 223Meyer, W., 112, 167, 169, 181Michael, E., 69Milka, A. D., 171Milman, D., 18Milman, E., 569Milman, V., 33, 40–43, 181, 182, 203, 288, 380,
Minoda, T., 628Miranda, C., 462Molchanov, I., 150, 154, 206Montejano, L., 8, 70, 167Moore, J. D., 487Moreno, J. P., 167Mosler, K., 206Moszynska, M., xv, 507Motzkin, T. S., 10Muller, C., 623Muller, H. R., 320, 321Muller, W., 236Murner, P., 202
Nadenık, Z., 393, 477Nadler, S., 70Nakajima, S., 320, 628Naszodi, M., 589Nazarov, F., 204, 565, 583Netuka, I., 137Neveu, J., 240Newman, D. J., 101Neyman, A., 207Nikliborc, W., 320Nirenberg, L., 462Nitsch, C., 390Noll, D., 31, 132
O’Brien, R. C., 144, 151Oda, T., 224Ohmann, D., 223, 379, 387, 388, 390, 410Oishi, K., 628Oliker, V. I., 454, 464, 486, 506
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Oliveros, D., 8Osher, S., 225Oshio, S., 417Osserman, R., 388–391Oudet, E., 201Overhagen, T., 310
Pach, J., 462Pajor, A., 541, 564, 580, 591, 594, 604, 606Pallaschke, D., 170, 288Palmon, O., 589Panina, G. Yu., 204, 293, 340, 488, 526Panov, A. A., 328Paouris, G., 310, 409, 541, 565, 569, 582, 583,
595, 606Papaderou–Vogiatzaki, I., 263Papadimitrakis, M., 603Papadopoulou, S., 78Parapatits, L., 361, 365, 463, 557, 579, 618, 619,
621Parks, H. R., 126Pastor, J. A., 393Pavlica, D., 103Paya, R., 169Pelczynski, 588Pena, A., 380Perissinaki, I., 594Perles, M. A., 235, 338Petermann, E., 393Petrov, F., 565Petty, C. M., 202, 203, 536, 546–549, 564, 567,
569, 570, 572, 579, 581, 583, 591, 594, 603,628
Pfiefer, R. E., 539Phelps, R. R., 18, 186Phillips, R. S., 58Pisier, G., 374, 380, 565Pivovarov, P., 310, 569Pogorelov, A. V., xvi, 274, 461, 462, 471–473,
486, 487Pollack, R., xviiPolovinkin, E. S., 160, 167Polya, G., 391Pompeiu, D., 68Ponsiglione, M., 392Pontryagin, L. S., 151, 181Positsel’skii, E. D., 174, 181Pranger, W., 19Pratelli, A., 377, 383, 392, 628Prodromou, M., 558Protasov, V. Ju., 495Przesławski, K., 52, 60, 73, 287, 322, 339Przybycien, H., 151, 167Pucci, C., 31, 89Pukhlikov, A. V., 340, 363
Qi, C., 559
Quinn, J., 70
Redei, L., 561Renyi, A., 558Rademacher, H., 58Radon, J., 3, 8, 188Rådstrom, H., 70Rajala, K., 392Rataj, J., 227, 236, 265, 312Ratschek, H., 70Rauch, J., 126, 168Reay, J. R., 15Redei, L., 543Reidemeister, K., 89, 204Reisner, S., 381, 438, 525, 530, 536, 543, 560,
564–566, 583Reiter, H. B., 78Reitzner, M., 104, 112, 554, 556–558, 562Ren, D., 534Renegar, J., 323, 327Renyi, A., 417Resetnjak, Ju. G., 31, 487, 628Reuleaux, F., 201Ricker, W., 207Rickert, N. W., 202, 205Riesz, F., 59Roberts, A. W., xi, xvi, 31Rockafellar, R. T., xi, xv, 9, 19, 30–32, 41,
42, 59Rodrıguez, L., 526Rogers, C. A., xii, 69, 79, 91, 103, 104, 169, 477,
530, 532, 533, 541, 565Romance, M., 594, 606Rosenberg, H., 526Rota, G.–C., 339, 364Rotem, L., 43, 519, 520, 522–524Rother, W., 261, 264Roy, A. K., 154Roy, N. M., 18Roy, S. N., 319, 320Rubin, B., 584Rubinov, A. M., 463Rudelson, M., 603Ryabogin, D., 204, 565, 580, 583, 585
Sacksteder, R., 125Sah, C.–H., 360Saint Pierre, J., 73, 181, 188Saint Raymond, J., 564Saks, M., 399Salani, P., 380Salinas Martınez, G., 393Salinetti, G., 69Salkowski, E., 543Sallee, G. T., 131, 151, 160, 166, 167, 169, 181,
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Santalo, L. A., 223, 261, 310, 388, 393, 410, 546,548
Saorın, E., 224, 225, 379, 440Saroglou, C., 541, 543, 578, 606Sas, E., 541, 628Saskin, Ju. A., 18Schaal, H., 201Schechtman, G., 391, 602Schirokow, A. P., 543Schirokow, P. A., 543Schmidt, E., 378, 391Schmidt, K. D., 70Schmitt, K.–A., 152Schmuckenschlager, M., 381, 530, 561, 577, 602Schneider, R., xv, xvii, 34, 35, 60, 71–73, 78, 80,
Scholtes, S., 170, 288, 472Schori, R. M., 70Schroder, G., 70Schrader, R., 236Schrocker, H.–P., 594Schurger, K., 154Schurmann, A., 506Schutt, C., 525, 552, 556, 558, 561–563, 566Schuster, F. E., 179, 182, 200, 201, 206, 364–366,
Si, L., 580, 595Silverman, R., 169Simon, U., 309, 310, 543Slomka, B. A., 42, 43Smilansky, Z., 169Soberon, P., 8Solanes, G., 228, 367, 410, 527Soltan, P. S., 418Soltan, V., 532Song, X., 535Sorger, H., 137Sorokin, V. A., 152Spiegel, W., 69, 332, 346Stacho, L. L., 224Stanchescu, Y. V., 445Stancu, A., 504, 506, 563, 566Stanley, R. P., 399Starr, R., 150, 151Stavrakas, N. M., 70, 78Steenaerts, P., 264Steiger, W., 104Steiner, J., 223, 319Stepanov, V. N., 628Sternberg, S. R., 151Stoka, M., 261Stoker, J. J., 125, 454Stoyan, D., 151Strantzen, J. B., 168Straszewicz, S., 19Straus, E. G., 515Strausz, R., 8Study, E., 540Sturmfels, B., 154Su, B., 320, 628Suss, W., 309, 370, 378, 386, 438, 462, 463, 472,
578Sulanke, R., 558Sung, C. H., 90Szarek, S. J., 381Szego, G., 391Sz.-Nagy, B. v., 223, 417Sz.-Nagy, G. v., 320Szwiec, C., 155
Talenti, G., 391Tam, B. S., 90Tani, M., 310Tanno, S., 188Teissier, B., 224, 398Temam, R., 150Tennison, R. L., 170Teufel, E., 527The Lai, Ph., 70Thomas, C., 399Thompson, A. C., xvi, 69, 391, 536, 565, 580, 582Tichy, R., 72
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Tietze, H., 15Tiwary, H. R., 154Tolke, J., xviTolstonogov, A. A., 70Tomczak-Jaegermann, N., 594Travaglini, G., xviiTreibergs, A., 464, 487Trudinger, N. S., 228, 399, 478, 558Tsang, A., 622Tsirelson, B. S., 310Tsolomitis, A., 381, 594Turk, I., 227Tverberg, H., 8Tweddle, I., 154Tzanaki, E., 154
Valdimarsson, S. I., 597Valentine, F. A., xv, 10, 15Valettas, P., 606Valette, G., 60, 152van Heijenoort, J., 125van Schaftingen, J., 541Vanderwerff, J. D., xvi, 31Vanhecke, L., 223Varberg, D. E., xi, xvi, 31Vassallo, S., 511Vidal Abascal, E., 223Vilenkin, N. J., 627Villa, R., 381Vincensini, P., 153Viro, O., 340Vitale, R. A., 71, 73, 152, 154, 228, 308, 310, 381,
421, 558Vlasov, L. P., 10Voiculescu, D., 153, 381Volcic, A., 511, 540, 541Volkov, Yu. A., 387, 391, 486Volland, W., 338Vodop’yanov, S. K., 487Vritsiou, B.–H., 565, 569, 606
Weis, S., 90Weiss, A. Ivic, xviiWeiss, G., 623Weiss, M. L., xvWeiss, V., 236Weissbach, B., 201Weisshaupt, H., 72Wellerding, A., 71, 439Wenger, R., 8Wenzel, W., 73Werner, E., 525, 552, 556, 558, 561–563, 566, 595Wets, R. J.–B., 19, 69Weyl, H., 223, 439Wieacker, J. A., 137, 138, 161, 167, 168Wiernowolski, M., 168Wiesler, H., 19Wijsman, R. A., 69Wills, J. M., xvi, 264, 310, 389, 392, 409, 506Wills, M. D., 68Willson, S. J., 418Winternitz, A., 553Wintgen, P., 236Wintner, A., 125Witsenhausen, H. S., 205Wolff, P., 606Wrase, D., 409Wu, D., 587, 593Wu, H., 125Wulff, G., 411Wunderlich, W., 201
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Blaschke’s rolling theorem, 164body of constant width, 140Bonnesen inequality, 388brightness function, 529Brunn–Minkowski theorem, 369Brunn–Minkowski theory
Lp, 489dual, 507
Busemann intersection inequality, 580Busemann–Petty problem, 583Busemann random simplex inequality, 539
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information
Cambridge University Press978-1-107-60101-7 - Encyclopedia of Mathematics and its Applications: Convex Bodies: The Brunn–Minkowski Theory: Second Expanded EditionRolf SchneiderIndexMore information