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Fourier analysis in convex geometry

Author: Alexander Koldobsky
Publisher: Providence, RI : American Mathematical Society, ©2005.
Series: Mathematical surveys and monographs, no. 116.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"The study of the geometry of convex bodies based on information about sections and projections of these bodies has important applications in many areas of mathematics and science. In this book, a new Fourier analysis approach is discussed. The idea is to express certain geometric properties of bodies in terms of Fourier analysis and to use harmonic analysis methods to solve geometric problems." "The book is  Read more...
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Alexander Koldobsky
ISBN: 0821837877 9780821837870
OCLC Number: 57641619
Description: vi, 170 pages : illustrations ; 26 cm.
Contents: Ch. 1. Introduction --
Ch. 2. Basic concepts --
Ch. 3. Volume and the Fourier transform --
Ch. 4. Intersection bodies --
Ch. 5. Busemann-Petty problem --
Ch. 6. Intersection bodies and L[subscript p]-spaces --
Ch. 7. Extremal sections of [actual symbol not reproducible][subscript q]-balls --
Ch. 8. Projections and the Fourier transform.
Series Title: Mathematical surveys and monographs, no. 116.
Responsibility: Alexander Koldobsky.

Abstract:

Discusses Fourier analysis approach. This book expresses certain geometric properties of bodies in terms of Fourier analysis and uses harmonic analysis methods to solve geometric problems. It is  Read more...

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