Spherical functions on p-adic homogeneous spaces

Yumiko Hironaka*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)


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
PublisherSpringer New York LLC
Number of pages15
ISBN (Print)9780387304144
Publication statusPublished - 2006
Externally publishedYes

Publication series

NameDevelopments in Mathematics
ISSN (Print)1389-2177


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

ASJC Scopus subject areas

  • Mathematics(all)


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