Lie Theory (eBook, PDF)

Harmonic Analysis on Symmetric Spaces - General Plancherel Theorems
Redaktion: Anker, Jean-Philippe; Orsted, Bent

• Format: PDF

Produktbeschreibung

Harmonic Analysis on Symmetric Spaces-General Plancherel Theorems presents extensive surveys by van den Ban, Schlichtkrull, and 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.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 175
• Erscheinungstermin: 25. Februar 2006
• Englisch
• ISBN-13: 9780817644260
• Artikelnr.: 37345660

Autorenporträt

Jean-Philippe Anker, Université d'Orléans, France / Bent Orsted, University of Southern Denmark, Odense, Denmark

Inhaltsangabe

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

Rezensionen

"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