Description

Book Synopsis
Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model.

Table of Contents
  • Introduction and main result
  • Preliminarities
  • Quasi-characters
  • Strongly cuspidal functions
  • Statement of the Trace formula
  • Proof of Theorem 1.3
  • Localization
  • Integral transfer
  • Calculation of the limit $\lim _N\rightarrow \infty I_x,\omega ,N(f)$
  • Proof of Theorem 5.4 and Theorem 5.7
  • Appendix A. The proof of Lemma 9.1 and Lemma 9.11
  • Appendix B. The reduced model
  • Appendix B. The reduced model
  • Bibliography.

    A Local Relative Trace Formula for the

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    A Paperback by Chen Wan

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      Publisher: MP-AMM American Mathematical
      Publication Date: 12/30/2019 12:00:00 AM
      ISBN13: 9781470436865, 978-1470436865
      ISBN10: 1470436868
      Also in:
      Calculus and mathematical analysis

      Description

      Book Synopsis
      Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model.

      Table of Contents
      • Introduction and main result
      • Preliminarities
      • Quasi-characters
      • Strongly cuspidal functions
      • Statement of the Trace formula
      • Proof of Theorem 1.3
      • Localization
      • Integral transfer
      • Calculation of the limit $\lim _N\rightarrow \infty I_x,\omega ,N(f)$
      • Proof of Theorem 5.4 and Theorem 5.7
      • Appendix A. The proof of Lemma 9.1 and Lemma 9.11
      • Appendix B. The reduced model
      • Appendix B. The reduced model
      • Bibliography.

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