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Fourier Analysis on Matrix Space

Stephen S. Gelbart · 1971

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About the book

This paper treats two related problems of harmonic analysis on [italic]n x [italic]n real matrix space [italic]M([italic]n,ℝ). The first concerns the explicit decomposition of the additive Fourier operator with respect to the group representation theory of [italic]G = [italic]GL([italic]n,ℝ). The second concerns the analytic continuation and functional equation of certain zeta-functions defined on [italic]G. The solution of both these problems involves the generalized gamma functions of Gelfand and Graev.

Book details

Year
1971
Language
English
Publisher
Amer Mathematical Society
Editions
1
Pages
77
ISBN
9780821818084

Data source: Wikidata

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