Noncommutative harmonic analysis

id: noncommutative-harmonic-analysis-215-5030220
title: Noncommutative harmonic analysis
text: In mathematics, noncommutative harmonic analysis is the field in which results from Fourier analysis are extended to topological groups that are not commutative. Since locally compact abelian groups have a well-understood theory, Pontryagin duality, which includes the basic structures of Fourier series and Fourier transforms, the major business of non-commutative harmonic analysis is usually taken to be the extension of the theory to all groups G that are locally compact. The case of compact gro
brand slug: wiki
category slug: encyclopedia
description: Application of Fourier analysis to non-abelian topological groups
original url: https://en.wikipedia.org/wiki/Noncommutative_harmonic_analysis
date created: 2006-10-03T08:38:48Z
date modified: 2024-09-12T20:11:15Z
main entity: {"identifier":"Q7049222","url":"https://www.wikidata.org/entity/Q7049222"}
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fields total: 13
integrity: 15

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