WHITTAKER-SHINTANI FUNCTIONS FOR ORTHOGONAL GROUPS

• KATO SHIN-ICHI

  Division of Mathematics, Faculty of Integrated Human Studies, Kyoto University

• MURASE ATSUSHI

  Department of Mathematics, Faculty of Science, Kyoto Sangyo University

• SUGANO TAKASHI

  Department of Mathematics, Faculty of Science, Kanazawa University

Abstract

As generalizations of zonal spherical functions and Whittaker functions, certain special functions on $p$-adic orthogonal groups closely related to automorphic forms are introduced. Their multiplicity one property and explicit formula are established.

Journal

• Tohoku Mathematical Journal, Second Series

  Tohoku Mathematical Journal, Second Series 55 (1), 1-64, 2003

  Mathematical Institute, Tohoku University

Keywords

• Spherical function
• Whittaker function
• orthogonal group
• unramified principal series representation

Details

• CRID: 1390282680091104256
• NII Article ID: 110000026999
• NII Book ID: AA00863953
• DOI: 10.2748/tmj/1113247445
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 1956080
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed