Fourier Analysis and Convexity (Hardcover, 2004 ed.)

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

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Series:	Applied and Numerical Harmonic Analysis
Release date:	August 2004
First published:	2004
Editors:	Luca Brandolini • Leonardo Colzani • Alex Iosevich • Giancarlo Travaglini
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Hardcover
Pages:	268
Edition:	2004 ed.
ISBN-13:	978-0-8176-3263-2
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	0-8176-3263-8
Barcode:	9780817632632

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