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The Interface between Convex Geometry and Harmonic Analysis (Cbms Regional Conference Series in Mathematics)
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Description for The Interface between Convex Geometry and Harmonic Analysis (Cbms Regional Conference Series in Mathematics)
Paperback. Includes 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. Series: CBMS Regional Conference Series in Mathematics. Num Pages: 107 pages, Illustrations. BIC Classification: PBK; PBM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 227.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2007
Publisher
American Mathematical Society
Condition
New
Series
CBMS Regional Conference Series in Mathematics
Place of Publication
Providence, United States
ISBN
9780821844564
SKU
V9780821844564
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
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