The Interface Between Convex Geometry and Harmonic Analysis

American Mathematical Society

American Mathematical Society, 2007

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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.

ISBN-13
9780821844564
ISBN-10
0821844563
Publisher
American Mathematical Society
Year
2007
Publication date
2007-12-30
Weight
225