Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591028 | Journal of Functional Analysis | 2011 | 19 Pages |
Abstract
We discuss generalized Bessel integrals with nondegenerate characters, which are assigned to irreducible submodules of a reducible degenerate principal series representation of Sp(n,R). Then we give sufficient conditions for their vanishings which are based on the signatures of the nondegenerate characters. This consequently suggests a reasonable correspondence between open GLn(R)-orbits in the set of real symmetric matrices of size n and irreducible submodules of the reducible principal series representations.
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