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OverviewFollowing 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. Full Product DetailsAuthor: Chen WanPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.200kg ISBN: 9781470436865ISBN 10: 1470436868 Pages: 90 Publication Date: 30 December 2019 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction 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.ReviewsAuthor InformationChen Wan, University of Minnesota, Minneapolis, Minnesota. Tab Content 6Author Website:Countries AvailableAll regions |