Word.ws English Dictionary

abstract harmonic analysis

abstract harmonic analysis noun: a branch of harmonic analysis dealing with generalised Fourier transforms that act on functions defined on Hausdorff locally compact topological groups.

Noun

abstract harmonic analysis (uncountable)

  1. (harmonic analysis, representation theory) A branch of harmonic analysis dealing with generalised Fourier transforms that act on functions defined on Hausdorff locally compact topological groups.
    • WIENER [1] goes well beyond analysis of periodic functions on R or even functions in 𝔏₂(R); this important paper has yet to be interpreted and assimilated into the standard repertory of abstract harmonic analysis.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
    • The present book is a text book for a graduate course on abstract harmonic analysis and its applications.2014, Anton Deitmar, Siegfried Echterhoff, Principles of Harmonic Analysis, 2nd edition, Springer, page v

Questions about abstract harmonic analysis

What does abstract harmonic analysis mean?
Abstract harmonic analysis means a branch of harmonic analysis dealing with generalised Fourier transforms that act on functions defined on Hausdorff locally compact topological groups.
What part of speech is abstract harmonic analysis?
Abstract harmonic analysis is a noun.

Words near abstract harmonic analysis in the dictionary

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  6. abstract harmonic analysis
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Adapted from Wiktionary: abstract harmonic analysis (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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