Generalized Whittaker functions on <i>GSp</i>(2,<i><b>R</b></i>) associated with indefinite quadratic forms

• Moriyama Tomonori

  Department of Mathematics, Graduate School of Science, Osaka University

Bibliographic Information

Other Title

• Generalized Whittaker functions on GSp(2,R) associated with indefinite quadratic forms

Abstract

We study the generalized Whittaker models for G = GSp(2,R) associated with indefinite binary quadratic forms when they arise from two standard representations of G: (i) a generalized principal series representation induced from the non-Siegel maximal parabolic subgroup and (ii) a (limit of) large discrete series representation. We prove the uniqueness of such models with moderate growth property. Moreover we express the values of the corresponding generalized Whittaker functions on a one-parameter subgroup of G in terms of the Meijer G-functions.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 63 (4), 1203-1262, 2011

  The Mathematical Society of Japan

Keywords

• generalized Whittaker functions
• Fourier expansions of automorphic forms on GSp(2)
• the Meijer G-functions

Details

• CRID: 1390001205116556928
• NII Article ID: 10030344828
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/06341203
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL BIB ID: 11284891
• Web Site: http://id.ndl.go.jp/bib/11284891
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11284891
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed