A Plancherel formula for Sp2n/Spn × Sp n anditsapplication

Zhengyu Mao, Stephen Rallis

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We compute the spherical functions on the symmetric space Sp 2n/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 Spn.

Original languageEnglish (US)
Pages (from-to)501-527
Number of pages27
JournalCompositio Mathematica
Volume145
Issue number2
DOIs
StatePublished - Mar 2009

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Macdonald polynomial
  • Plancherel formula
  • spherical function

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