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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
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Oh-okayama, Meguro-ku, Tokyo 152-8551, [email protected]
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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.

Type
Research Article
Copyright
Foundation Compositio Mathematica 2004