Analysis on Symmetric Cones

Name: Analysis on Symmetric Cones
Price: 149.55 USD
Availability: InStock
ISBN: 9780198534778

ISBN-10: 0198534779

ISBN-13: 9780198534778

Edition: 1994

Authors: Jacques Faraut, Adam Korï¿½nyi

List price: $205.00

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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…

Book details

List price: $205.00
Copyright year: 1994
Publisher: Oxford University Press, Incorporated
Publication date: 2/2/1995
Binding: Hardcover
Pages: 394
Size: 6.50" wide x 9.75" long x 1.00" tall
Weight: 1.738
Language: English




Convex Cones



Jordan Algebras



Symmetric Cones and Euclidean Jordan Algebras



The Peirce Decomposition In a Jordan Algebra



Classification of Euclidean Jordan Algebras



Polar Decomposition and Gauss Decomposition



The Gamma Function of a Symmetric Cone



Complex Jordan Algebras



Tube Domains Over Convex cones



Symmetric Domains



Conical and Spherical Polynomials



Taylor and Laurent Series



Functions Spaces on Symmetric Domains



Invariant Differential Operators and Spherical Functions



Special Functions



Representations of Jordan Algebras and Euclidean Fourier Analysis


Bibliography