TY - BOOK AU - Beuzart-Plessis,Raphael TI - A Local trace formula for the gan-gross-prasad conjecture for unitary groups: the Archimedean case/ T2 - Asterisque SN - 9782856299197 U1 - 512.2 23 PY - 2020/// CY - Paris PB - Societe Mathematique De France KW - Local Trace Formula KW - Gan-Gross-Prasad Conjecture KW - Representations of Real and p-adic Lie Groups N1 - Includes bibliographical references; 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 ER -