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The local Gross–Prasad conjecture over Archimedean local fields

Cheng Chen

Vol. 339 (2025), No. 1, 133–166
Abstract

Following the approach of C. Mœglin and J.-L. Waldspurger, this article proves the local Gross–Prasad conjecture over and based on the tempered cases of Luo and the author.

Keywords
local Gross–Prasad conjecture, branching problem, multiplicity formula
Mathematical Subject Classification
Primary: 22E50, 22E45
Secondary: 20G20
Milestones
Received: 25 November 2022
Revised: 24 August 2025
Accepted: 25 August 2025
Published: 1 September 2025
Authors
Cheng Chen
Institut de Mathématiques de Jussieu Paris Rive Gauche / CNRS
75013 Paris
France

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