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The Interface Between Convex Geometry and Harmonic Analysis - Couverture souple

American Mathematical Society

 
9780821844564: The Interface Between Convex Geometry and Harmonic Analysis
Couverture souple
ISBN 10 : 0821844563 ISBN 13 : 9780821844564
Editeur : American Mathematical Society, 2007

Synopsis

The study of convex bodies is a central part of geometry, and is particularly useful in applications to other areas of mathematics and the sciences. Recently, methods from Fourier analysis have been developed that greatly improve our understanding of the geometry of sections and projections of convex bodies. The idea of this approach is to express certain properties of bodies in terms of the Fourier transform and then to use methods of Fourier analysis to solve geometric problems. The results covered in the book include an analytic solution to the Busemann-Petty problem, which asks whether bodies with smaller areas of central hyperplane sections necessarily have smaller volume, characterizations of intersection bodies, extremal sections of certain classes of bodies, and a Fourier analytic solution to Shephard's problem on projections of convex bodies.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2007
Langue
anglais
ISBN 10 
0821844563
ISBN 13 
9780821844564
Reliure
Broché
Nombre de pages
105
Coordonnées du fabricant
non disponible
Personne responsable
non disponible