Fourier analysis on matrix space.
Edición de la obra Fourier Analysis on Matrix Space
| Autor | Stephen S. Gelbart |
|---|---|
| Editorial | American Mathematical Society |
| Fecha de publicación | 1971 |
| Lugar | Providence, R. I |
| Idioma | inglés |
| Páginas | 77 |
| OCLC | 264898 |
| Serie | Memoirs of the American Mathematical Society, no. 108 · Memoirs of the American Mathematical Society -- no. 108. |
| Número de Cutter | G314f |
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.