On Bessel integrals for reducible degenerate principal series representations

Takuya Miyazaki

doi:10.1016/j.jfa.2011.01.013

On Bessel integrals for reducible degenerate principal series representations

Takuya Miyazaki

数理科学科

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 GL_n(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
巻	260
号	9
DOI	https://doi.org/10.1016/j.jfa.2011.01.013
出版ステータス	Published - 2011 5 1

ASJC Scopus subject areas

Analysis

文献へのアクセス

10.1016/j.jfa.2011.01.013

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引用スタイル

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