Geometric Applications of Fourier Series and Spherical Harmonics
By (author) Helmut Groemer
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Geometric Applications of Fourier Series and Spherical Harmonics by Helmut Groemer
Book DescriptionThis 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.
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Book DetailsISBN: 9780521473187
(234mm x 156mm x 21mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Sep-1996
Country of Publication: United Kingdom
Books By Author Helmut Groemer
Geometric Applications of Fourier Series and Spherical Harmonics, Paperback (August 2009)» View all books by Helmut Groemer
A full exposition of the classical theory of spherical harmonics and their use in proving stability results.
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