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OverviewFull Product DetailsAuthor: J. Faraut , etc. , Soji Kaneyuki (Sophia University, Tokyo, Japan) , Qi-keng Lu (Academia Sinica & Shantou University, Beijing & shantou, China)Publisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Volume: v. 185 ISBN: 9783764341381ISBN 10: 3764341386 Pages: 560 Publication Date: January 2000 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Replaced By: 9780817641382 Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPart 1 Function spaces on complex semi-groups, Jacques Faraut: Hilbert spaces of holomorphic functions; invariant cones and complex semi-groups; positive unitary representations; Hilbert function spaces on complex semi-groups; Hilbert function spaces on SL(2,C); Hilbert function spaces on a complex semi-simple Lie group. Part 2 Graded Lie algebras and pseudo-hermitian symmetric spaces, Soji Kaneyuki: semi-simple graded Lie algebras; symmetric R-spaces; pseudo-hermitian symmetric spaces. Part 3 Function spaces on bounded symmetric domains, Adam Koranyi: Bergman kernel and Bergman metric; symmetric domains and symmetric spaces; construction of the hermitian symmetric spaces; structure of symmetric domains; the weighted Bergman spaces; differential operators; function spaces. Part 4 The heat kernels of non-compact symmetric spaces, Qi-keng Lu: introduction; the Laplace-Beltrami operator in various co-ordinates; the integral transformations; the heat kernel of the hyperball Rr(m,n); the harmonic forms on the complex Grassmann manifold; the horo-hypercircle coordinate of a complex hyperball; the heat kernel of R11(m); the matrix representation of NIRGSS. Part 5 Jordan triple systems, Guy Ross: polynomial identities; Jordan algebras; the quasi-inverse; the generic minimal polynomial; tripotents and Pierce decomposition; hermitian positive JTS; further results and open problems. References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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