A local relative trace formula for the Ginzburg-Rallis model : the geometric side
著者
書誌事項
A local relative trace formula for the Ginzburg-Rallis model : the geometric side
（Memoirs of the American Mathematical Society, no. 1263）
American Mathematical Society, c2019
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注記
"September 2019, volume 261, number 1263 (seventh of 7 numbers)"
Includes bibliographical reference (p. 89-90)
内容説明・目次
内容説明
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. Then by applying such formula, the author proves a multiplicity formula of the Ginzburg-Rallis model for the supercuspidal representations. Using that multiplicity formula, the author proves the multiplicity one theorem for the Ginzburg-Rallis model over Vogan packets in the supercuspidal case.
目次
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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