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David MitchellDavid Mitchell's newest mind-bending, time-skipping novel may be his most accomplished work yet. Written in six sections, one per decade, The Bone... Continue »
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Analysis on Symmetric Cones (Oxford Mathematical Monographs)

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Analysis on Symmetric Cones (Oxford Mathematical Monographs) Cover

 

Synopses & Reviews

Publisher 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 Contents

1. 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

Product Details

ISBN:
9780198534778
Author:
Faraut, Jacques
Author:
Koranyi, Adam
Author:
null, Jacques
Author:
Kor?nyi, Adam
Author:
Adam Kornyi
Author:
Kor�nyi, Adam
Author:
null, Adam
Publisher:
OUP Oxford
Location:
Oxford :
Subject:
Statistics
Subject:
Geometry - General
Subject:
Harmonic analysis
Subject:
Cones (Operator theory)
Subject:
Probability & Statistics - General
Subject:
Mathematics | Pure Mathematics
Subject:
Mathematics-Geometry and Trigonometry
Series:
Oxford mathematical monographs
Series Volume:
2631
Publication Date:
19941231
Binding:
HARDCOVER
Grade Level:
College/higher education:
Language:
English
Illustrations:
9 linecuts, 3 music examples
Pages:
400
Dimensions:
1.65 in.

Related Subjects

Education » Phonics
History and Social Science » Linguistics » General
Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Physics » General

Analysis on Symmetric Cones (Oxford Mathematical Monographs) New Hardcover
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Product details 400 pages Oxford University Press - English 9780198534778 Reviews:
"Synopsis" by , 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.

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