Fourier analysis in convex geometry A Koldobsky American Mathematical Soc., 2005 | 425 | 2005 |
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 | 295 | 1999 |
Intersection bodies, positive definite distributions, and the Busemann-Petty problem A Koldobsky American journal of mathematics 120 (4), 827-840, 1998 | 151 | 1998 |
A functional analytic approach to intersection bodies A Koldobsky Geometric & Functional Analysis GAFA 10, 1507-1526, 2000 | 101 | 2000 |
An application of the Fourier transform to sections of star bodies A Koldobsky Israel Journal of Mathematics 106, 157-164, 1998 | 90 | 1998 |
On the central limit property of convex bodies SG Bobkov, A Koldobsky Geometric Aspects of Functional Analysis: Israel Seminar 2001-2002, 44-52, 2003 | 85 | 2003 |
Intersection bodies in R4 A Koldobsky Advances in Mathematics 136 (1), 1-14, 1998 | 78 | 1998 |
Operators preserving orthogonality are isometries A Koldobsky Proceedings of the Royal Society of Edinburgh Section A: Mathematics 123 (5 …, 1993 | 78 | 1993 |
Schoenberg’s problem on positive definite functions A Koldobsky Algebra and Analysis 3, 1992 | 75 | 1992 |
A generalization of the Busemann-Petty problem on sections of convex bodies A Koldobsky Israel Journal of Mathematics 110, 75-91, 1999 | 72 | 1999 |
Generalized Lévy representation of norms and isometric embeddings into -spaces AL Koldobsky Annales de l'IHP Probabilités et statistiques 28 (3), 335-353, 1992 | 68 | 1992 |
Morphological regularization neural networks PD Gader, MA Khabou, A Koldobsky Pattern Recognition 33 (6), 935-944, 2000 | 67 | 2000 |
Projections of convex bodies and the Fourier transform A Koldobsky, D Ryabogin, A Zvavitch Israel journal of mathematics 139, 361-380, 2004 | 62 | 2004 |
The interface between convex geometry and harmonic analysis A Koldobsky, V Yaskin American Mathematical Soc., 2008 | 60 | 2008 |
Aspects of the isometric theory of Banach spaces A Koldobsky, H König Handbook of the geometry of Banach spaces 1, 899-939, 2001 | 53 | 2001 |
Extremal slabs in the cube and the Laplace transform F Barthe, A Koldobsky Advances in Mathematics 174 (1), 89-114, 2003 | 49 | 2003 |
Intersection bodies and Lp-spaces NJ Kalton, A Koldobsky Advances in Mathematics 196 (2), 257-275, 2005 | 48 | 2005 |
Complex intersection bodies A Koldobsky, G Paouris, M Zymonopoulou Journal of the London Mathematical Society 88 (2), 538-562, 2013 | 46 | 2013 |
Inverse formula for the Blaschke-Levy representation A Koldobsky Houston J. Math 23 (1), 95-108, 1997 | 45 | 1997 |
Positive definite distributions and subspaces of L_p with applications to stable processes A Koldobsky Canadian Mathematical Bulletin 42 (3), 344-353, 1999 | 44 | 1999 |