Description
Fourier Analysis and Convexity, 2004
Applied and Numerical Harmonic Analysis Series
Coordinators: Brandolini Luca, Colzani Leonardo, Iosevich Alex, Travaglini Giancarlo
Language: EnglishSubjects for Fourier Analysis and Convexity:
Publication date: 10-2012
268 p. · 15.5x23.5 cm · Paperback
Publication date: 08-2004
268 p. · 15.5x23.5 cm · Hardback
Description
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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.
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