Causal Symmetric Spaces

Gestur Olafsson · Joachim Hilgert

sept 1996 · Perspectives in Mathematics Libro 9 · Academic Press

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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

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Gestur Olafsson studied at the University of Iceland and University of Gottingen. He completed his doctorial thesis in 1982,and worked at the University of Gottingen until 1991. He is currently an Associate Professor at the University of Roskilde, and has had Tenure at Louisiana State University since 1994.

Joachim Hilgert studied at Universitat at Munchen and at Tule University. He received the DFG-Heisenberg grant 1991-1993. Hilgert has been a Professor at the TU Clausthal since 1993.