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Fourier Analysis and Convexity

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Description

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 Hurwitz’s proof of the isoperimetric inequality using Fourier series. This unified, self-contained 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.
Release date Australia
August 6th, 2004
Audience
  • Professional & Vocational
Contributors
  • Edited by Alex Iosevich
  • Edited by Giancarlo Travaglini
  • Edited by Leonardo Colzani
  • Edited by Luca Brandolini
Illustrations
IX, 268 p.
Pages
268
ISBN-13
9780817632632
Product ID
27118013

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