An archimedean analog of Jacquet - Rallis theorem

Details An archimedean analog of Jacquet - Rallis theorem An archimedean analog of Jacquet - Rallis theorem

2008-03-24

arxiv.org/abs/0803.3397v3

Mathematics

Representation Theory

6 pages. v2,v3: minor changes

Scientific paper

In this paper we prove that the symmetric pair $(GL_{n+k}(F),GL_n(F) \times
GL_k(F))$ is a Gelfand pair for any local field F of characteristic 0. For
non-archimedean F it has been proven in [JR]. We use techniques developed in
[AG2] to generalize their proof to general local fields.

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