Spherical functions and local densities on hermitian forms

研究成果: Article

26 被引用数 (Scopus)

抄録

First we give a formula of spherical functions on certain spherical homo-geneous spaces. Then, applying it, we complete the theory of the spherical functions on the space X of nondegenerate unramified hermitian forms on a p-adic number field. More precisely, we give an explicit expression for the spherical functions, prove theorems on the spherical Fourier transforms on the space of Schwartz-Bruhat functions on X, and parametrize of all spherical functions onX. Finally, as an application, we give explicit expressions of local densities of representations of hermitian forms.

元の言語English
ページ(範囲)553-581
ページ数29
ジャーナルJournal of the Mathematical Society of Japan
51
発行部数3
DOI
出版物ステータスPublished - 1999 1 1

ASJC Scopus subject areas

  • Mathematics(all)

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