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Alexander Koldobsky
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Fourier Analysis in Convex Geometry
A Koldobsky
American Mathematical Society, 2005
4422005
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
3031999
Intersection bodies, positive definite distributions, and the Busemann-Petty problem
A Koldobsky
American journal of mathematics 120 (4), 827-840, 1998
1531998
A functional analytic approach to intersection bodies
A Koldobsky
Geometric & Functional Analysis GAFA 10, 1507-1526, 2000
1012000
An application of the Fourier transform to sections of star bodies
A Koldobsky
Israel Journal of Mathematics 106, 157-164, 1998
931998
On the central limit property of convex bodies
SG Bobkov, A Koldobsky
Geometric Aspects of Functional Analysis: Israel Seminar 2001-2002, 44-52, 2003
872003
Operators preserving orthogonality are isometries
A Koldobsky
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 123 (5 …, 1993
841993
Intersection bodies in R4
A Koldobsky
Advances in Mathematics 136 (1), 1-14, 1998
781998
Schoenberg’s problem on positive definite functions
A Koldobsky
Algebra and Analysis 3, 1992
761992
A generalization of the Busemann-Petty problem on sections of convex bodies
A Koldobsky
Israel Journal of Mathematics 110, 75-91, 1999
721999
Generalized Lévy representation of norms and isometric embeddings into -spaces
AL Koldobsky
Annales de l'IHP Probabilités et statistiques 28 (3), 335-353, 1992
701992
Morphological regularization neural networks
PD Gader, MA Khabou, A Koldobsky
Pattern Recognition 33 (6), 935-944, 2000
672000
Projections of convex bodies and the Fourier transform
A Koldobsky, D Ryabogin, A Zvavitch
Israel journal of mathematics 139, 361-380, 2004
622004
The interface between convex geometry and harmonic analysis
A Koldobsky, V Yaskin
American Mathematical Soc., 2008
612008
Aspects of the isometric theory of Banach spaces
A Koldobsky, H König
Handbook of the geometry of Banach spaces 1, 899-939, 2001
542001
Extremal slabs in the cube and the Laplace transform
F Barthe, A Koldobsky
Advances in Mathematics 174 (1), 89-114, 2003
502003
Complex intersection bodies
A Koldobsky, G Paouris, M Zymonopoulou
Journal of the London Mathematical Society 88 (2), 538-562, 2013
492013
Intersection bodies and Lp-spaces
NJ Kalton, A Koldobsky
Advances in Mathematics 196 (2), 257-275, 2005
492005
Inverse formula for the Blaschke-Levy representation
A Koldobsky
Houston J. Math 23 (1), 95-108, 1997
461997
Positive definite distributions and subspaces of L_p with applications to stable processes
A Koldobsky
Canadian Mathematical Bulletin 42 (3), 344-353, 1999
441999
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