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Siegel–Whittaker functions on SOo(2, q) for class one principal series representations

Published online by Cambridge University Press:  04 December 2007

Taku Ishii
Taku Ishii
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Oh-okayama, Meguro-ku, Tokyo 152-8551, Japantaku@math.titech.ac.jp
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Abstract

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In this paper we study a kind of spherical function, which we call a Siegel–Whittaker function, related to Fourier expansions of automorphic forms on Hermitian symmetric domains of type IV. We obtain a multiplicity-one theorem and an integral representation of this spherical function.

Keywords

generalized Whittaker functionwave formbounded symmetric domain of type IV11F5522E46
Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 4 , July 2004 , pp. 827 - 854
Copyright
Foundation Compositio Mathematica 2004