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Confluence from Siegel–Whittaker functions to Whittaker functions on $Sp(2,\mathbb{R})$

Published online by Cambridge University Press:  03 July 2006

MIKI HIRANO ,
TAKU ISHII  and
TAKAYUKI ODA
MIKI HIRANO
Affiliation:
Department of Mathematical Sciences, Faculty of Science, Ehime University, Ehime, 790-8577, Japan. e-mail: hirano@math.sci.ehime-u.ac.jp
TAKU ISHII
Affiliation:
Chiba Institute of Technology, 2-1-1 Shibazono, Narashino, Chiba 275-0023, Japan. e-mail: ishii.taku@it-chiba.ac.jp
TAKAYUKI ODA
Affiliation:
Department of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo, 153-8914 Japan. e-mail: takayuki@ms.u-tokyo.ac.jp
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Abstract

We discuss a confluence from Siegel–Whittaker functions to Whittaker functions on $Sp(2,{\mathbb{R})$ by using their explicit formulae. In our proof, we use expansion theorems of the good Whittaker functions by the secondary Whittaker functions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 141 , Issue 1 , July 2006 , pp. 15 - 31
Copyright
2006 Cambridge Philosophical Society

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