Geometric Applications of Fourier Series and Spherical Harmonicsby Helmut Groemer
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, 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.
- Cambridge University Press
- Publication date:
- Encyclopedia of Mathematics and its Applications Series, #61
- 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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