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Multiplicity One Theorem for the Ginzburg-Rallis Model: the tempered case

2016/08/12 by Wan, Chen
#22E35 #22E50 (Primary) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1608.03840

Abstract

Following the method developed by Waldspurger and Beuzart-Plessis in their proof of the local Gan-Gross-Prasad conjecture, we are able to prove the multiplicity one theorem for the Ginzburg-Rallis model over the Vogan packets in the tempered case. In some cases, we can also relate the multiplicity to the epsilon factor. This is a sequel of our work \citeWan15 in which we consider the supercuspidal case.

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