Generalized Harish-Chandra descent, Gelfand pairs, and an Archimedean analog of Jacquet-Rallis's theorem

Author:

Aizenbud Avraham1,Gourevitch Dmitry2,Sayag Eitan3

Affiliation:

1. Faculty of Mathematics and Computer Science, Weizmann Institute of Science

2. School of Mathematics, Institute for Advanced Study

3. Department of Mathematics, Ben-Gurion University of the Negev

Publisher

Duke University Press

Subject

General Mathematics

Reference43 articles.

1. B. Kostant and S. Rallis, Orbits and representations associated with symmetric spaces, Amer. J. Math. 93 (1971), 753--809.

2. A. Aizenbud, A partial analog of integrability theorem for distributions on p-adic spaces and applications, preprint,\arxiv0811.2768v1[math.RT]

3. A. Aizenbud and D. Gourevitch, Schwartz functions on Nash manifolds, Int. Math. Res. Not. 2008, no. 5, Art. ID rnm155,

4. —, De-Rham theorem and Shapiro lemma for Schwartz functions on Nash manifolds, preprint, to appear in the Israel J. Math.,\arxiv0802.3305v2[math.AG]

5. —, Some regular symmetric pairs, preprint, to appear in Trans. Amer. Math. Soc.,\arxiv0805.2504v1[math.RT]

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