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A Plancherel formula for Sp2n/Spn×Spn and its application

Published online by Cambridge University Press:  01 March 2009

Zhengyu Mao
Affiliation:
Department of Mathematics and Computer Science, Rutgers University, Newark, NJ 07102-1811, USA (email: zmao@rutgers.edu)
Stephen Rallis
Affiliation:
Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA (email: haar@math.ohio-state.edu)
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Abstract

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We compute the spherical functions on the symmetric space Sp2n/Spn×Spn and derive a Plancherel formula for functions on the symmetric space. As an application of the Plancherel formula, we prove an identity which amounts to the fundamental lemma of a relative trace identity between Sp2n and .

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2009

References

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