Projections of convex bodies and the Fourier transform
type: Item
instance of: scholarly article
title: Projections of convex bodies and the Fourier transform
zbMATH Open document ID: 1062.52002
DOI: 10.1007/BF02787557
published in: Israel Journal of Mathematics
publication date: 2004-11-11T00:00:00Z
review text: The authors extend the Fourier analytic approach to sections of convex bodies to projections of convex bodies, establish a formula expressing the volume of hyperplane projections in terms of the Fourier transform of the curvature function, and present the projections counterparts of several results for convex bodies.
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 2114537
zbMATH Keywords: convex body
zbMATH Keywords: Busemann-Petty problem
zbMATH Keywords: projection counterpart
author: Alexander Koldobsky
author: D. Ryabogin
author: Artem Zvavitch
reviewed by: Anatoliy Milka
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2114537