A Local trace formula for the gan-gross-prasad conjecture for unitary groups: the Archimedean case - Beuzart-Plessis, Raphael (Paris: Societe Mathematique De France, 2020)
Introduction -- Preliminaries -- Representations -- Harish-Chandra descent -- Quasi-Characters -- Strongly cuspidal functions -- The Gan-Gross-Prasad triples -- Explicit tempered intertwinings -- The Distributions J and J to the power lie -- Spectral expansion -- The Spectral expansion of J to the power lie -- Geometric expansions and a formula for the multiplicity -- An Application to the Gan-Gross-Prasad conjecture -- Topological vector spaces -- Some estimates -- Bibliography -- List of notations
Includes bibliographical references
Keywords: Local Trace Formula; Gan-Gross-Prasad Conjecture; Representations of Real and p-adic Lie Groups