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Analysis on Symmetric Cones Jacques Faraut

Analysis on Symmetric Cones

Jacques Faraut

Published December 29th 1994
ISBN : 9780198534778
Hardcover
400 pages
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 About the Book 

The present book treats the analysis of symmetric cones in a systematic way. It starts by describing, with the simplest available proofs, the Jordan algebra approach to the geometric and algebraic foundations of the theory due to M. Koecher and hisMoreThe present book treats the analysis of symmetric cones in a systematic way. It starts by describing, with the simplest available proofs, the Jordan algebra approach to the geometric and algebraic foundations of the theory due to M. Koecher and his school. In subsequent parts, it discusses harmonic analysis and special functions associated to symmetric cones, and tries these results together with the study of holomorphic functions on bounded symmetric domains of tube type. It contains a number of new results and new proofs of old results.