abstract harmonic analysis

Hello, you have come here looking for the meaning of the word abstract harmonic analysis. In DICTIOUS you will not only get to know all the dictionary meanings for the word abstract harmonic analysis, but we will also tell you about its etymology, its characteristics and you will know how to say abstract harmonic analysis in singular and plural. Everything you need to know about the word abstract harmonic analysis you have here. The definition of the word abstract harmonic analysis will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofabstract harmonic analysis, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.

English

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.
    • 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 goes well beyond analysis of periodic functions on or even functions in ; this important paper has yet to be interpreted and assimilated into the standard repertory of abstract harmonic analysis.
    • 2014, Anton Deitmar, Siegfried Echterhoff, Principles of Harmonic Analysis, 2nd edition, Springer, page v:
      The present book is a text book for a graduate course on abstract harmonic analysis and its applications.
    • 2015, Gerald B. Folland, A Course in Abstract Harmonic Analysis‎, 2nd edition, Taylor & Francis (CRC Press):

Translations

Further reading

Wikious
Boobota
Sagapedia