"abstract harmonic analysis" meaning in All languages combined

See abstract harmonic analysis on Wiktionary

Noun [English]

Head templates: {{en-noun|-}} abstract harmonic analysis (uncountable)
  1. (harmonic analysis, representation theory, topology) A branch of harmonic analysis dealing with generalised Fourier transforms that act on functions defined on Hausdorff locally compact topological groups. Tags: uncountable Categories (topical): Topology Translations (branch of harmonic analysis): analisi armonica astratta [feminine] (Italian)
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          "text": "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,\nWIENER [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."
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-03 from the enwiktionary dump dated 2024-11-21 using wiktextract (94ba7e1 and 5dea2a6). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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