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Was (wer) ist harmonic analysis - definition
Harmonic analysis
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STUDY OF SUPERPOSITIONS IN MATHEMATICS
Abstract harmonic analysis; Fourier theory; Harmonics Theory; Harmonic Analysis; Harmonic analysis (mathematics); Discrete harmonic analysis
Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e.
Noncommutative harmonic analysis
APPLICATION OF FOURIER ANALYSIS TO NON-ABELIAN TOPOLOGICAL GROUPS
Non-commutative harmonic analysis
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.
List of harmonic analysis topics
WIKIMEDIA LIST ARTICLE
List of harmonic analysis and representation theory topics; Outline of harmonic analysis
This is a list of harmonic analysis topics. See also list of Fourier analysis topics and list of Fourier-related transforms, which are more directed towards the classical Fourier series and Fourier transform of mathematical analysis, mathematical physics and engineering.
