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Other titles in the Oxford Mathematical Monographs series:
Analysis on Symmetric Cones (Oxford Mathematical Monographs)by Jacques Faraut
Synopses & ReviewsPublisher Comments: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.
Synopsis:In no era in the history of Western art have so many artists invested so much thought and passion in the depiction of the physical conditions of the world as the nineteenth century. This volume is filled with spectacular landscape paintings by the Hudson River school artists Bierstadt (Lake
Lucerne), Church (Morning in the Tropics), Cole, and Durand. Numerous marine paintings, Heade's view of nature, several portraits by Eakins, and Homer's critically acclaimed Breezing Up (A Fair Wind) are included as well, thoughtfully presented and richly illustrated. Description:Includes bibliographical references (p. 364-377) and index.
Table of Contents1. Convex Cones
2. Jordan Algebras 3. Symmetric Cones and Euclidean Jordan Algebras 4. The Peirce Decomposition In a Jordan Algebra 5. Classification of Euclidean Jordan Algebras 6. Polar Decomposition and Gauss Decomposition 7. The Gamma Function of a Symmetric Cone 8. Complex Jordan Algebras 9. Tube Domains Over Convex cones 10. Symmetric Domains 11. Conical and Spherical Polynomials 12. Taylor and Laurent Series 13. Functions Spaces on Symmetric Domains 14. Invariant Differential Operators and Spherical Functions 15. Special Functions 16. Representations of Jordan Algebras and Euclidean Fourier Analysis Bibliography What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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