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Geometric applications of Fourier series and spherical harmonics / H. Groemer

Author
Groemer, H.
Published
Cambridge ; New York : Cambridge University Press, [1996]
Copyright Date
©1996
Physical Description
1 online resource (xi, 329 pages).
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Series
Contents
1. Analytic Preparations -- 2. Geometric Preparations -- 3. Fourier Series and Spherical Harmonics -- 4. Geometric Applications of Fourier Series -- 5. Geometric Applications of Spherical Harmonics.
Summary
This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. Almost all these geometric results appear here in book form for the first time. An important feature of the book is that all the necessary tools from classical theory of spherical harmonics are developed as concretely as possible, with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces, and characterizations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematicians.
Subject(s)
ISBN
9781107088818 (electronic bk.)
110708881X (electronic bk.)
0521473187
9780521473187
Bibliography Note
Includes bibliographical references (pages 311-318) and indexes.
View MARC record | catkey: 43626693