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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        Book details

        Publisher American Mathematical Society
        Published 12/30/2019 12:00:00 AM
        ISBN-13 9781470436865
        978-1470436865
        ISBN-10 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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