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Words, grammatical forms and meanings linked to the ontology.

abstract harmonic analysis en · NOUN

Meanings

  1. (qualifier:harmonic analysis; representation theory; harmonic analysis; representation theory, uncountable) A branch of harmonic analysis dealing with generalised Fourier transforms that act on functions defined on Hausdorff locally compact topological groups.
    • 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:
    • 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 𝔏₂(R); this important paper has yet to be interpreted and assimilated into the standard repertory of abstract harmonic analysis.

Translations (3)

fi abstrakti harmoninen analyysi (branch of harmonic analysis) · pl abstrakcyjna analiza harmoniczna (branch of harmonic analysis) · it analisi armonica astratta (branch of harmonic analysis)