Spherical functions on p-adic homogeneous spaces

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

In §1, after defining spherical functions on homogeneous spaces, we examine the case of symmetric forms as an enlightening example. In §2, we introduce a general formula of spherical functions using functional equations under suitable assumption. In §3, we study a certain mechanism of functional equations of spherical functions.

Original languageEnglish
Title of host publicationNUMBER THEORY
EditorsWENPENG ZHANG, YOSHIO TANIGAWA
Pages81-95
Number of pages15
Publication statusPublished - 2006 Dec 1

Publication series

NameDevelopments in Mathematics
Volume15
ISSN (Print)1389-2177

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Keywords

  • Pre- homogeneous vector spaces
  • Relative invariants
  • Spherical functions
  • p-adic homogeneous spaces

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Hironaka, Y. (2006). Spherical functions on p-adic homogeneous spaces. In WENPENG. ZHANG, & YOSHIO. TANIGAWA (Eds.), NUMBER THEORY (pp. 81-95). (Developments in Mathematics; Vol. 15).