Relative trace formulae toward Bessel and Fourier–Jacobi periods on unitary groups

Yifeng Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We propose an approach, via relative trace formulae, toward the global restriction problem involvingBessel or Fourier–Jacobi periods on unitary groups Un×Um, generalizing the work of Jacquet–Rallis for m = n−1 (which is a Bessel period). In particular, when m = 0, we recover a relative trace formula proposed by Flicker concerning Kloosterman/Fourier integrals on quasi-split unitary groups.As evidences for our approach,we prove the vanishing part of the fundamental lemmas in all cases, and the full lemma for Un × Un.

Original languageEnglish (US)
Pages (from-to)1-69
Number of pages69
JournalManuscripta Mathematica
Volume145
Issue number1-2
DOIs
StatePublished - Sep 2014

ASJC Scopus subject areas

  • Mathematics(all)

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