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A Local trace formula for the gan-gross-prasad conjecture for unitary groups: the Archimedean case/ Raphael Beuzart-Plessis

By: Material type: TextTextSeries: Asterisque ; 418Publication details: Paris: Societe Mathematique De France 2020Description: x, 308 pages, 24 cmISBN:
  • 9782856299197
Subject(s): DDC classification:
  • 23 512.2 As853
Contents:
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
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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

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