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Geometric Applications of Fourier Series and Spherical Harmonics (Paperback)

Author: Groemer, Helmut

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Product Overview

This is the first comprehensive exposition of the application of spherical harmonics to prove geometric results. The author presents all the necessary tools from classical theory of spherical harmonics with full proofs. Groemer uses these tools to prove geometric inequalities, uniqueness results for projections and intersection by planes or half-spaces, stability results, and characterizations of convex bodies of a particular type, such as rotors in convex polytopes. Results arising from these analytical techniques have proved useful in many applications, particularly those related to stereology. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets.

Specifications

Publisher Cambridge Univ Pr
Mfg Part# 9780521119658
SKU 211287077
Format Paperback
ISBN10 0521119650
Release Date 11/1/2010
Product Attributes
Book Format Paperback
Number of Pages 0344
Publisher Cambridge University Press
Series Part 61
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