Lie theory : harmonic analysis on symmetric spaces - general Plancherel theorems

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Lie theory : harmonic analysis on symmetric spaces - general Plancherel theorems

Jean-Philippe Anker, Bent Orsted, editors

(Progress in mathematics, v. 230)

Birkhäuser, c2005

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Includes bibliographical references

Description and Table of Contents

Description

* Presents extensive surveys by van den Ban, Schlichtkrull, and Delorme of the recent progress in deriving the Plancherel theorem on reductive symmetric spaces * Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology * Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required

Table of Contents

* Preface * E.P. van den Ban: The Plancherel Theorem for a Reductive Symmetric Space * H. Schlichtkrull: The Paley-Wiener Theorem for a Reductive Symmetric Space * P. Delorme: The Plancherel Formula on Reductive Symmetric Spaces from the Point of View of the Schwartz Space

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