Overview
- 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
Part of the book series: Progress in Mathematics (PM, volume 230)
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Table of contents (3 chapters)
Keywords
About this book
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title of Lie Theory, feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.
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, possibly even mathematical cosmology, it 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.
Reviews
"This book is a remarkable and highly commendable effort by three leading experts, Erik P. van den Ban, Henrik Schlichtkrull, and Patrick Delorme, to survey the fascinating progress made in the last decade on the Plancherel theorem for reductive symmetric spaces." ---Mathematical Reviews
"Well suited for both graduate students and researchers in semisimple Lie theory and neighbouring 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 braches of mathematics and physics." ---L'Enseignement Mathématique
Editors and Affiliations
Bibliographic Information
Book Title: Lie Theory
Book Subtitle: Harmonic Analysis on Symmetric Spaces – General Plancherel Theorems
Editors: Jean-Philippe Anker, Bent Orsted
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/b138865
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2005
Hardcover ISBN: 978-0-8176-3777-4Published: 04 January 2005
eBook ISBN: 978-0-8176-4426-0Published: 25 February 2006
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: VIII, 175
Number of Illustrations: 3 b/w illustrations
Topics: Topological Groups, Lie Groups, Abstract Harmonic Analysis, Differential Geometry, Several Complex Variables and Analytic Spaces, Group Theory and Generalizations