On Bessel integrals for reducible degenerate principal series representations

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)2579-2597
ページ数19
ジャーナルJournal of Functional Analysis
260
9
DOI
出版ステータスPublished - 2011 5 1

ASJC Scopus subject areas

  • Analysis

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