Fourier Analysis and Convexity - Couverture souple

Couverture souple

ISBN 10 : 146126474X ISBN 13 : 9781461264743

Editeur : Birkhäuser, 2012

Synopsis

Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances

Presents new results and applications to diverse fields such as geometry, number theory, and analysis

Contributors are leading experts in their respective fields

Will be of interest to both pure and applied mathematicians

A propos du livre

À propos de la quatrième de couverture

Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitzs proof of the isoperimetric inequality using Fourier series.                                                            

This unified, self-contained volume is dedicated to Fourier analysis, convex geometry, and related topics. Specific topics covered include:

* the geometric properties of convex bodies

* the study of Radon transforms

* the geometry of numbers

* the study of translational tilings using Fourier analysis

* irregularities in distributions

* Lattice point problems examined in the context of number theory, probability theory, and Fourier analysis

* restriction problems for the Fourier transform  

The book presents both a broad overview of Fourier analysis and convexity as well as an intricate look at applications in some specific settings; it will be useful to graduate students and researchers in harmonic analysis, convex geometry, functional analysis, number theory, computer science, and combinatorial analysis. A wide audience will benefit from the careful demonstration of how Fourier analysis is used to distill the essence of many mathematical problems in a natural and elegant way.

Contributors: J. Beck, C. Berenstein, W.W.L. Chen, B. Green, H. Groemer, A. Koldobsky, M. Kolountzakis, A. Magyar, A.N. Podkorytov, B. Rubin, D. Ryabogin, T. Tao, G. Travaglini, A. Zvavitch

Détails de l'édition

• Éditeur: Birkhäuser
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 146126474X
• ISBN 13: 9781461264743
• Reliure: Broché
• Nombre de pages: 278
• Éditeur: Brandolini Luca, Colzani Leonardo, Iosevich Alex, Travaglini Giancarlo
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne