Abstract harmonic analysis

English

Noun

1. Template:Lb A branch of harmonic analysis dealing with generalised Fourier transforms that act on functions defined on Hausdorff locally compact topological groups.
   • 1970, Edwin Hewitt, Kenneth A. Ross, Abstract Harmonic Analysis: Volume II: Structure and Analysis for Compact Groups; Analysis on Locally Compact Abelian Groups, Springer, 2nd reprint, 2002, page 547,

     WIENER [1] goes well beyond analysis of periodic functions on $R$ or even functions in ${𝔏}_2(R)$; this important paper has yet to be interpreted and assimilated into the standard repertory of abstract harmonic analysis.

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Translations

• Italian: Template:T

Further reading

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• Harmonic analysis, abstract on Template:W
• Fourier transform on Template:W