Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-05T05:03:36.048Z Has data issue: false hasContentIssue false

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]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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