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Author:   Jacques Faraut (Professor, Department of Mathematics, Professor, Department of Mathematics, Université Pierre et Marie Curie, Paris) ,  Adam Koranyi (Professor, Department of Mathematics and Computer Science, Lehman College, Professor, Department of Mathematics and Computer Science, Lehman College, City University of New York)
Publisher:   Oxford University Press
Imprint:   Clarendon Press
Dimensions:   Width: 16.00cm , Height: 2.70cm , Length: 24.10cm
Weight:   0.699kg
ISBN:  

9780198534778

ISBN 10:   0198534779
Pages:   394
Publication Date:   29 December 1994
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

I. Convex cones; II. Jordan algebras; III. Symmetric cones and Euclidean Jordan algebras; IV. The Peirce decomposition in a Jordan algebra; V. Classification of Euclidean Jordan algebras; VI. Polar decomposition and Gauss decomposition; VII. The gamma function of a symmetric cone; VIII. Complex Jordan algebras; IX. Tube domains over convex cones; X. Symmetric domains; XI. Conical and spherical polynomials; XII. Taylor and Laurent series; XIII. Functions spaces on symmetric domains; XIV. Invariant differential operators and spherical functions; XV. Special functions; XVI. Representations of Jordan algebras and Euclidean Fourier analysis; Bibliography

Reviews

<br> The detailed exposition, careful choice of organization and notation, and very helpful collection of exercises, mostly of medium difficulty, all attest to the effort put into this joint venture. --Bulletin of the London Mathematical Society<p><br> Whenever I have a problem or I want to find a reference, I go back to this book; thus, this is the most frequent used reference in my papers, particularly in recent ones. The chapter exercises and notes are also very helpful since they outline existing results and open problems. Hence, I view this book as a very good, important, and comprehensive research monograph in mathematical literature, and I enthusiastically recommend it to all interested readers. --Mathematical Reviews<p><br>

The detailed exposition, careful choice of organization and notation, and very helpful collection of exercises, mostly of medium difficulty, all attest to the effort put into this joint venture. --Bulletin of the London Mathematical Society<br> Whenever I have a problem or I want to find a reference, I go back to this book; thus, this is the most frequent used reference in my papers, particularly in recent ones. The chapter exercises and notes are also very helpful since they outline existing results and open problems. Hence, I view this book as a very good, important, and comprehensive research monograph in mathematical literature, and I enthusiastically recommend it to all interested readers. --Mathematical Reviews<br>

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