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.
| ISBN: | 9780521119658 |
| Publication date: | 17th September 2009 |
| Author: | Helmut University of Arizona Groemer |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 344 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Functional analysis and transforms |
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.
Geometric Applications of Fourier Series and Spherical Harmonics features in the following genres: Functional analysis and transforms
Geometric Applications of Fourier Series and Spherical Harmonics is available in Paperback, Hardback
Geometric Applications of Fourier Series and Spherical Harmonics was written by Helmut University of Arizona Groemer and published by Cambridge University Press
Geometric Applications of Fourier Series and Spherical Harmonics has 344 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£54.00