Geometric Applications of Fourier Series and Spherical Harmonics

Geometric Applications of Fourier Series and Spherical Harmonics

by Helmut Groemer
     
 

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ISBN-10: 0521119650

ISBN-13: 9780521119658

Pub. Date: 09/17/2009

Publisher: Cambridge University Press

This self-contained, comprehensive treatise presents a careful introduction to the classical theory of spherical harmonics and shows how this theory can be used to prove geometric results such as geometric inequalities, uniqueness results for projections and intersection by hyperplanes or half-spaces, and stability. The analytic nature of the proofs is emphasized,

Overview

This self-contained, comprehensive treatise presents a careful introduction to the classical theory of spherical harmonics and shows how this theory can be used to prove geometric results such as geometric inequalities, uniqueness results for projections and intersection by hyperplanes or half-spaces, and stability. The analytic nature of the proofs is emphasized, since this makes them particularly useful in applications. Many of the results appear here in book form for the first time. This reference will be welcomed by both pure and applied mathematicians.

Product Details

ISBN-13:
9780521119658
Publisher:
Cambridge University Press
Publication date:
09/17/2009
Series:
Encyclopedia of Mathematics and its Applications Series, #61
Pages:
344
Product dimensions:
6.14(w) x 9.21(h) x 0.71(d)

Table of Contents

Preface; 1. Analytic preparations; 2. Geometric preparations; 3. Fourier series and spherical harmonics; 4. Geometric applications of Fourier series; 5. Geometric applications of spherical harmonics; References; List of symbols; Author index; Subject index.

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