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Geometric Applications of Fourier Series and Spherical Harmonics - Couverture rigide

Livre 47 sur 188: Encyclopedia of Mathematics and its Applications

Groemer, Helmut

 
9780521473187: Geometric Applications of Fourier Series and Spherical Harmonics
Couverture rigide
ISBN 10 : 0521473187 ISBN 13 : 9780521473187
Editeur : Cambridge University Press, 1996

Synopsis

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.

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Présentation de l'éditeur

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.

Revue de presse

Review of the hardback: '... these geometric results appear here in book form for the first time ... developed as concretely as possible, with full proofs.' L'Enseignement Mathématique

Review of the hardback: 'Of the two main approaches to convex sets, the analytic is comprehensively covered by this welcome book.' Mathematika

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1996
Langue
anglais
ISBN 10 
0521473187
ISBN 13 
9780521473187
Reliure
Relié
Nombre de pages
344
Coordonnées du fabricant
Cambridge University Press
https://www.cambridge.org/

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