Alexander Koldobsky
Title
Cited by
Cited by
Year
Fourier analysis in convex geometry
A Koldobsky
American Mathematical Soc., 2005
3412005
An analytic solution to the Busemann-Petty problem on sections of convex bodies
RJ Gardner, A Koldobsky, T Schlumprecht
Annals of Mathematics, 691-703, 1999
2511999
Intersection bodies, positive definite distributions, and the Busemann-Petty problem
A Koldobsky
American journal of mathematics 120 (4), 827-840, 1998
1291998
A functional analytic approach to intersection bodies
A Koldobsky
Geometric & Functional Analysis GAFA 10 (6), 1507-1526, 2000
942000
On the central limit property of convex bodies
SG Bobkov, A Koldobsky
Geometric aspects of functional analysis, 44-52, 2003
702003
Intersection bodies in R4
A Koldobsky
Advances in Mathematics 136 (1), 1-14, 1998
701998
A generalization of the Busemann-Petty problem on sections of convex bodies
A Koldobsky
Israel Journal of Mathematics 110 (1), 75-91, 1999
691999
Morphological regularization neural networks
PD Gader, MA Khabou, A Koldobsky
Pattern Recognition 33 (6), 935-944, 2000
682000
Schoenberg's problem on positive definite functions
A Koldobsky
arXiv preprint math/9210207, 1992
681992
An application of the Fourier transform to sections of star bodies
A Koldobsky
Israel Journal of Mathematics 106 (1), 157-164, 1998
671998
Generalized Lévy representation of norms and isometric embeddings into -spaces
AL Koldobsky
Annales de l'IHP Probabilités et statistiques 28 (3), 335-353, 1992
571992
Operators preserving orthogonality are isometries
A Koldobsky
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 123 (5 …, 1993
541993
The interface between convex geometry and harmonic analysis
A Koldobsky, V Yaskin
American Mathematical Soc., 2008
492008
Projections of convex bodies and the Fourier transform
A Koldobsky, D Ryabogin, A Zvavitch
Israel journal of mathematics 139 (1), 361-380, 2004
472004
Aspects of the isometric theory of Banach spaces
A Koldobsky, H König
Handbook of the geometry of Banach spaces 1, 899-939, 2001
462001
Extremal slabs in the cube and the Laplace transform
F Barthe, A Koldobsky
Advances in Mathematics 174 (1), 89-114, 2003
432003
Inverse formula for the Blaschke-Levy representation
A Koldobsky
Houston J. Math 23 (1), 95-108, 1997
421997
Intersection bodies and Lp-spaces
NJ Kalton, A Koldobsky
Advances in Mathematics 196 (2), 257-275, 2005
392005
Positive Definite Distributions and Subspaces of L_ p With Applications to Stable Processes
A Koldobsky
Canadian Mathematical Bulletin 42 (3), 344-353, 1999
371999
Second derivative test for intersection bodies
A Koldobsky
Advances in Mathematics 136 (1), 15-25, 1998
371998
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