Title: Lie theory : harmonic analysis on symmetric spaces, general Plancherel theorems /
Authors: Anker, Jean-Philippe.; Orsted, Bent.
Publisher: Birkhäuser,
Year: 2005
Subjects: Lie groups.; Harmonic analysis.; Linear topological spaces.; Symmetric spaces.
Abstract: "Harmonic Analysis on Symmetric Spaces - General Plancherel Theorems presents extensive surveys by E. P. van den Ban, H. Schlichtkrull, and P. Delorme of the spectacular progress over the past decade in deriving the Plancherel theorem on reductive symmetric spaces." "Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, and possibly even mathematical cosmology, Harmonic Analysis on Symmetric Spaces - General Plancherel Theorems provides a broad, clearly focused examination of semisimple Lie groups and their integral importance and applications to research in many branches of mathematics and physics. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required."--BOOK JACKET.
Contents: The Plancherel theorem for a reductive symmetric space / Erik P. van den Ban -- The Paley-Wiener theorem for a reductive symmetric space / Henrik Schlichtkrull -- The Plancherel formula on reductive symmetric spaces from the point of view of the Schwartz space / Partrick Delorme.