Open Access
2003 Whittaker-Shintani functions for orthogonal groups
Shin-ichi Kato, Atsushi Murase, Takashi Sugano
Tohoku Math. J. (2) 55(1): 1-64 (2003). DOI: 10.2748/tmj/1113247445

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.

Citation

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Shin-ichi Kato. Atsushi Murase. Takashi Sugano. "Whittaker-Shintani functions for orthogonal groups." Tohoku Math. J. (2) 55 (1) 1 - 64, 2003. https://doi.org/10.2748/tmj/1113247445

Information

Published: 2003
First available in Project Euclid: 11 April 2005

zbMATH: 1037.22034
MathSciNet: MR1956080
Digital Object Identifier: 10.2748/tmj/1113247445

Subjects:
Primary: 22E50
Secondary: 11F70

Keywords: orthogonal group , spherical function , unramified principal series representation , Whittaker function

Rights: Copyright © 2003 Tohoku University

Vol.55 • No. 1 • 2003
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