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The Math Forum - Math Library - Abst. Harmnc Analysis - English
URL: http://mathforum.org/library/topics/harmonic_a/

The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites relating to Abstract Harmonic Analysis.

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Abstract harmonic analysis - English
URL: http://www.math.niu.edu/~rusin/known-math/index/43-XX.html

Abstract harmonic analysis: if Fourier series is the study of periodic real functions, that is, real functions which are invariant under the group of integer translations, then abstract harmonic analysis is the study of functions on general topological groups which are invariant under a (closed) subgroup. This includes topics of varying level of specificity, including analysis on Lie groups or locally compact abelian groups. This area also overlaps with representation theory of topological groups.

[ eng ]