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arxiv: 1608.03840 · v1 · pith:4CZY2MKCnew · submitted 2016-08-12 · 🧮 math.RT · math.NT

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

classification 🧮 math.RT math.NT
keywords casemultiplicityginzburg-rallismodeltemperedtheoremablebeuzart-plessis
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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 \cite{Wan15} in which we consider the supercuspidal case.

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