Analysis on Symmetric Cones

Analysis on Symmetric Cones is the first book to provide a systematic and clear introduction to the theory of symmetric cones, a subject of growing importance in number theory and multivariate analysis. Beginning with an elementary description of the Jordan algebra approach to the geometric
and algebraic foundations of the theory, the book goes on to discuss harmonic analysis and special functions associated with symmetric cones, tying these results together with the study of holomorphic functions on bounded symmetric domains of tube type. Written by algebraic geometers, the book
contains a detailed exposition of the spherical polynomials, multivariate hypergeometric functions, and invariant differential operators. The approach is based on Jordan algebras; all that is needed from the theory of these is developed in the first few chapters. The book will be read by students
and theoreticians in pure mathematics, non-commutative harmonic analysis, Jordan algebras, and multivariate statistics.


Author: Jacques Faraut, Adam Korányi
Publisher: Clarendon Press
Published: 02/02/1995
Pages: 400
Binding Type: Hardcover
Weight: 1.60lbs
Size: 9.08h x 6.42w x 1.32d
ISBN: 9780198534778

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