-
1
-
-
0001642631
-
Some remarks on the geometry of convex sets
-
Geometric Aspects of Functional Analysis (J. Lindenstrauss and V. D. Milman, eds.), Springer-Verlag, New York
-
K. BALL, Some remarks on the geometry of convex sets, in Geometric Aspects of Functional Analysis (J. Lindenstrauss and V. D. Milman, eds.), Lecture Notes in Math. 1317, Springer-Verlag, New York (1988), 224-231.
-
(1988)
Lecture Notes in Math.
, vol.1317
, pp. 224-231
-
-
Ball, K.1
-
3
-
-
0003373303
-
On the Busemann-Petty problem for perturbations of the ball
-
J. Bourgain, On the Busemann-Petty problem for perturbations of the ball, Geom. Funct. Anal. 1 (1991), 1-13.
-
(1991)
Geom. Funct. Anal.
, vol.1
, pp. 1-13
-
-
Bourgain, J.1
-
4
-
-
0040603699
-
On a generalization of the Busemann-Petty problem
-
(K. Ball and V. Milman, eds.), Cambridge University Press, New York (1998)
-
J. BOURGAIN and G. ZHANG, On a generalization of the Busemann-Petty problem, Convex Geometric Analysis, MSRI Publications 34 (1998) (K. Ball and V. Milman, eds.), Cambridge University Press, New York (1998), 65-76.
-
(1998)
Convex Geometric Analysis, MSRI Publications
, vol.34
, pp. 65-76
-
-
Bourgain, J.1
Zhang, G.2
-
5
-
-
0001775494
-
Problems on convex bodies
-
H. BUSEMANN and C. M. PETTY, Problems on convex bodies, Math. Scand. 4 (1956), 88-94.
-
(1956)
Math. Scand.
, vol.4
, pp. 88-94
-
-
Busemann, H.1
Petty, C.M.2
-
6
-
-
0040942669
-
Convex intersection bodies in three and four dimensions
-
to appear
-
S. CAMPI, Convex intersection bodies in three and four dimensions, Mathematika (1999), to appear.
-
(1999)
Mathematika
-
-
Campi, S.1
-
7
-
-
0031563281
-
Spherical projections and centrally symmetric sets
-
H. FALLERT, P. GOODEY, and W. WEIL, Spherical projections and centrally symmetric sets, Adv. Math. 129 (1997), 301-322.
-
(1997)
Adv. Math.
, vol.129
, pp. 301-322
-
-
Fallert, H.1
Goodey, P.2
Weil, W.3
-
8
-
-
0001869896
-
A positive answer to the Busemann-Petty problem in three dimensions
-
R. J. GARDNER, A positive answer to the Busemann-Petty problem in three dimensions, Ann. of Math. 140 (1994), 435-447.
-
(1994)
Ann. of Math.
, vol.140
, pp. 435-447
-
-
Gardner, R.J.1
-
9
-
-
0001869895
-
Intersection bodies and the Busemann-Petty problem
-
_, Intersection bodies and the Busemann-Petty problem, Trans. A.M.S. 342 (1994), 435-445.
-
(1994)
Trans. A.M.S.
, vol.342
, pp. 435-445
-
-
-
11
-
-
0033435894
-
An analytic solution to the Busemann-Petty problem on sections of convex bodies
-
R. J. GARDNER, A. KOLDOBSKY, and T. SCHLUMPRECHT, An analytic solution to the Busemann-Petty problem on sections of convex bodies, Ann. of Math. 149 (1999), 691-703.
-
(1999)
Ann. of Math.
, vol.149
, pp. 691-703
-
-
Gardner, R.J.1
Koldobsky, A.2
Schlumprecht, T.3
-
12
-
-
84975992354
-
A note on a problem of H. Busemann and C. M. Petty concerning sections of symmetric convex bodies
-
A. GIANNOPOULOS, A note on a problem of H. Busemann and C. M. Petty concerning sections of symmetric convex bodies, Mathematika 37 (1990), 239-244.
-
(1990)
Mathematika
, vol.37
, pp. 239-244
-
-
Giannopoulos, A.1
-
13
-
-
84902598221
-
Infinitesimal aspects of the Busemann-Petty problem
-
E. GRINBERG and I. RIVIN, Infinitesimal aspects of the Busemann-Petty problem, Bull. London Math. Soc. 22 (1990), 478-484.
-
(1990)
Bull. London Math. Soc.
, vol.22
, pp. 478-484
-
-
Grinberg, E.1
Rivin, I.2
-
14
-
-
0007236082
-
Convolutions, transforms, and convex bodies
-
E. GRINBERG and G. ZHANG, Convolutions, transforms, and convex bodies, Proc. London Math. Soc. (3)78 (1999), 77-115.
-
(1999)
Proc. London Math. Soc.
, vol.78
, Issue.3
, pp. 77-115
-
-
Grinberg, E.1
Zhang, G.2
-
16
-
-
0000918923
-
Intersection bodies, positive definite distributions, and the Busemann-Petty problem
-
A. KOLDOBSKY, Intersection bodies, positive definite distributions, and the Busemann-Petty problem, Amer. J. Math. 120 (1998), 827-840.
-
(1998)
Amer. J. Math.
, vol.120
, pp. 827-840
-
-
Koldobsky, A.1
-
17
-
-
85095799203
-
4
-
4, Adv. Math. 136 (1998), 1-14.
-
(1998)
Adv. Math.
, vol.136
, pp. 1-14
-
-
-
18
-
-
84971946870
-
The existence of a centrally symmetric convex body with central sections that are unexpectedly small
-
D. G. LARMAN and C. A. ROGERS, The existence of a centrally symmetric convex body with central sections that are unexpectedly small, Mathematika 22 (1975), 164-175.
-
(1975)
Mathematika
, vol.22
, pp. 164-175
-
-
Larman, D.G.1
Rogers, C.A.2
-
19
-
-
0000830163
-
Intersection bodies and dual mixed volumes
-
E. LUTWAK, Intersection bodies and dual mixed volumes, Adv. in Math. 71 (1988), 232-261.
-
(1988)
Adv. in Math.
, vol.71
, pp. 232-261
-
-
Lutwak, E.1
-
20
-
-
0002904748
-
Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space
-
Geometric Aspects of Functional Analysis (J. Lindenstrauss and V. Milman, eds.)
-
V. MILMAN and A. PAJOR, Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space, in Geometric Aspects of Functional Analysis (J. Lindenstrauss and V. Milman, eds.), Lecture Notes in Math. 1376, Springer-Verlag, New York (1989), 64-104.
-
(1989)
Lecture Notes in Math.
, vol.1376
, pp. 64-104
-
-
Milman, V.1
Pajor, A.2
-
24
-
-
0000235581
-
Centered bodies and dual mixed volumes
-
_, Centered bodies and dual mixed volumes, Trans. A.M.S. 345 (1994), 777-801.
-
(1994)
Trans. A.M.S.
, vol.345
, pp. 777-801
-
-
-
25
-
-
0010951442
-
Sections of convex bodies
-
_, Sections of convex bodies, Amer. J. Math. 118 (1996), 319-340.
-
(1996)
Amer. J. Math.
, vol.118
, pp. 319-340
-
-
-
26
-
-
0039164106
-
Intersection bodies and polytopes
-
to appear
-
_, Intersection bodies and polytopes, Mathematika (1999), to appear.
-
(1999)
Mathematika
-
-
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