Causal Symmetric Spaces
( Volume 18 )
Publication series ：Volume 18
Author： Olafsson Gestur;Hilgert Joachim;Helgason Sigurdur
Publisher： Elsevier Science
Publication year： 1996
E-ISBN: 9780080528724
P-ISBN(Paperback): 9780125254304
P-ISBN(Hardback): 9780125254304
Subject： O186 Differential Geometry and Integral Geometry
Language： ENG
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Description
This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces.
Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spaces
Deals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fields
Presents basic geometric properties of semi-simple symmetric spaces
Includes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces
Chapter