abstract harmonic analysis
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English
[edit]Noun
[edit]abstract harmonic analysis (uncountable)
- (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 [1] 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[1], 2nd edition, Taylor & Francis (CRC Press):
- 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,
Translations
[edit]branch of harmonic analysis
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Further reading
[edit]Harmonic analysis on Wikipedia.Wikipedia
Fourier transform on Wikipedia.Wikipedia
Pontryagin duality on Wikipedia.Wikipedia
- Harmonic analysis, abstract on Encyclopedia of Mathematics
- Fourier transform on Encyclopedia of Mathematics