The Interface Between Convex Geometry and Harmonic Analysis - Brossura

Koldobsky, Alexander; Yaskin, Vladyslav

Brossura

ISBN 10: 0821844563 ISBN 13: 9780821844564

Casa editrice: Amer Mathematical Society, 2007

Riassunto

Central to geometry and particularly useful in applications to other areas of mathematics as well, this aspect of study of convex bodies and the geometry of sections has been advanced by methods from Fourier analysis, the idea being to express certain properties of bodies in terms of the Fourier transform and then to use methods of Fourier analysis to solve geometric problems. Developed from material presented at the conference of the same name held July and August 2006 at Kansas State U. in Manhattan, Kansas, this is written in the form of lectures accessible to graduate students and contains information on the newest advances. It covers hyper-plane sections of lp-balls, volume and the Fourier transform, intersection bodies, the Busemann-Petty problem, projections and the Fourier transform, intersection bodies and Lp-spaces, between polar projection bodies and intersection bodies, and open problems. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 0821844563
• ISBN 13: 9780821844564
• Rilegatura: Copertina flessibile
• Numero di pagine: 105
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile