Fourier Analysis In Convex Geometry - 9780821837870
Un libro in lingua di Alexander Koldobsky edito da Amer Mathematical Society, 2005
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Koldobsky describes a new Fourier analytic approach in which the idea is to express certain geometric properties of bodies in Fourier analytic terms and then use methods of harmonic analysis to solve geometric problems. After describing basic concepts such as Radon transforms, the gamma-function, the Fourier transform of distributions, fractional derivatives, and positive definite distributions, Koldobsky describes volume and the Fourier transform, intersection bodies, the Buseman-Petty problem, intersection bodies and Lp-spaces (including Schoenberg's problems on positive definitive functions), Ball's theorem and projections and the Fourier transform. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)
Informazioni bibliografiche
- Titolo del Libro in lingua: Fourier Analysis In Convex Geometry
- Lingua: English
- Autore: Alexander Koldobsky
- Editore: Amer Mathematical Society
- Collana: Amer Mathematical Society (Hardcover)
- Data di Pubblicazione: 01 Gennaio '05
- Genere: MATHEMATICS
- Argomenti : Convex sets Banach spaces Fourier transformations
- Pagine: 170
- Dimensioni mm: 254 x 184 x 12
- ISBN-10: 0821837877
- EAN-13: 9780821837870