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

Format:

Book

Author/Creator:

Groemer, H., author.

Series:

Encyclopedia of mathematics and its applications ; v. 61.

Encyclopedia of mathematics and its applications ; volume 61

Language:

English

Subjects (All):

Convex sets.

Fourier series.

Spherical harmonics.

Physical Description:

1 online resource (xi, 329 pages) : digital, PDF file(s).

Other Title:

Geometric Applications of Fourier Series & Spherical Harmonics

Place of Publication:

Cambridge : Cambridge University Press, 1996.

Language Note:

English

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. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented 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 characterisations 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 mathematics.

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and indexes.

ISBN:

1-139-88658-4

0-511-96281-9

1-107-10313-4

0-521-11965-0

0-511-83490-X

1-107-08881-X

0-511-53000-5

1-107-09499-2

1-107-09169-1

OCLC:

846895244