Horospherical transform on Riemannian symmetric manifolds of noncompact type

Author:

Gindikin Simon

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference12 articles.

1. R. J. Beerends, “The Fourier transform of Harish-Chandra’s c-function and inversion of Abel transform,” Math. Ann., 277:1 (1987), 1–23.

2. I. M. Gelfand, “Integral geometry and its relation to the theory of group representations,” Uspekhi Mat. Nauk, 15:2 (1960), 155–164; English transl.: Russian Math. Surveys, 15:2 (1960), 143–151.

3. I. M. Gelfand and M. I. Graev, “Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry,” Trudy Moskov. Mat. Obshch., 8 (1959), 321–390; English transl.: Amer. Math. Soc. Transl. (2), vol. 7, 1964, 351–429.

4. I. M. Gelfand and M. I. Graev, “Complexes of k-dimensional planes in the space ℂn and Plancherel’s formula for the group GL(n, ℂ),” Dokl. Akad. Nauk SSSR, 179 (1968), 522–525; English transl.: Soviet Math. Dokl., 9 (1968), 394–398.

5. I. M. Gelfand, M. I. Graev, and Z. Ya. Shapiro, “Integral geometry on k-dimensional planes,” Funkts. Anal. Prilozhen., 1:1 (1967), 15–31; English transl.: Funct. Anal. Appl., 1:1 (1967), 14—27.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Harish-Chandra’s c-function; 50 years later;Annales de la Faculté des sciences de Toulouse : Mathématiques;2016-07-11

2. New Inversion Formulas for the Horospherical Transform;The Journal of Geometric Analysis;2016-04-19

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