Hasil untuk "math.SP"

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CrossRef Open Access 2009
A Plancherel formula for <i>Sp</i> <sub> 2 <i>n</i> </sub> / <i>Sp</i> <sub> <i>n</i> </sub> × <i>Sp</i> <sub> <i>n</i> </sub> and its application

Zhengyu Mao, Stephen Rallis

Abstract We compute the spherical functions on the symmetric space Sp 2 n / Sp n × Sp n 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 Sp 2 n and $\widetilde {{\rm Sp}}_n$ .

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