Fourier analysis on matrix space.
Series: Memoirs of the American Mathematical Society, no. 108; Memoirs of the American Mathematical Society -- no. 108.
Publisher: American Mathematical Society
Published: 1971
Place of publication: Providence, R. I
Language: eng
Number of pages: 77
Subjects: Fourier series.
Description: 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.
Notes: Bibliography: p. 76-77.