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Analysis on Symmetric Cones(Oxford Mathematical Monographs) H 394 p. 94

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発行年月	1994年12月
出版社／提供元	Oxford at the Clarendon Press
出版国	イギリス
言語	英語
媒体	冊子
装丁	hardcover
ページ数／巻数	394 p.
ジャンル	洋書／理工学／数学／解析学
ISBN	9780198534778
商品コード	0209429722
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0209429722

内容

The present book is the first to treat analysis on symmetric cones in a systematic way. It starts by describing, with the simplest available proofs, the Jordan algebra approach to the geometric and algebraic foundations of the theory due to M. Koecher and his school. In subsequent parts it discusses harmonic analysis and special functions associated to symmetric cones; it also tries these results together with the study of holomorphic functions on bounded symmetric domains of tube type. It contains a number of new results and new proofs of old results.

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

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