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A Local Relative Trace Formula for the Ginzburg-Rallis Model

A Local Relative Trace Formula for the Ginzburg-Rallis Model : The Geometric Side.

・ISBN 978-1-4704-3686-5 paper US$ 81.00

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著者・編者Wan, Chen,
シリーズMemoirs of the American Mathematical Society
出版社(American Mathematical Society, US)
出版年月2019
ページ数90 pp.
言語ENG
ニュース番号<M25-13230>

解説

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.