Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
WHITTAKER-SHINTANI FUNCTIONS FOR ORTHOGONAL GROUPS
SHIN-ICHI KATO, ATSUSHI MURASE, TAKASHI SUGANO
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Keywords: Spherical function, Whittaker function, orthogonal group, unramified principal series representation
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2003 Volume 55 Issue 1 Pages 1-64

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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.
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© 2003 by THE TOHOKU UNIVERSITY
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Tohoku Mathematical Journal, First Series

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