Stabilisation de la formule des traces tordue IV: transfert spectral archimédien

Abstract : It is one of a series of papers whose goal is to stabilize the twisted trace formula. We consider here a "twisted space" over the real field. We prove in this twisted situation the results obtained by Arthur in his Selecta's paper. That is the existence of transfer of tempered representations. We use the Paley-Wiener's theorems of Renard and Delorme-Mezo, the work of Shelstad about transfer of functions and a recent result of Moeglin about super-tempered representations. As corollaries, we obtain a stable version of the Paley-Wiener theorem and the fact that transfer of functions preserves K-finitude.
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https://hal.archives-ouvertes.fr/hal-00956365
Contributor : Jean-Loup Waldspurger <>
Submitted on : Thursday, March 6, 2014 - 1:18:08 PM
Last modification on : Sunday, March 31, 2019 - 1:38:22 AM
Long-term archiving on : Friday, June 6, 2014 - 10:51:33 AM

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  • HAL Id : hal-00956365, version 1
  • ARXIV : 1403.1454

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Jean-Loup Waldspurger. Stabilisation de la formule des traces tordue IV: transfert spectral archimédien. 2014. ⟨hal-00956365⟩

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