Analysis on Symmetric Cones

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Clarendon Press, 1994 - History - 382 pages
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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.

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Analysis on symmetric cones , by Jacques Faraut and Adam Koranyi ...
analysis on symmetric cones has substantial interfaces with many areas of mathe- ... analysis on symmetric cones and related domains that applies to all ...
www.ams.org/ bull/ 1998-35-01/ S0273-0979-98-00733-2/ S0273-0979-98-00733-2.pdf

Laguerre functions on symmetric cones and recursion relations in ...
9 [9] J. Faraut, A. Koranyi, Analysis on Symmetric Cones, Clarendon Press, Oxford, 1994. 10 [10] sg Gindikin, Analysis on homogeneous domains, Uspekhi Math. ...
portal.acm.org/ citation.cfm?id=1232183

Zentralblatt MATH Database 1931 – 2008 0841.43002
Analysis on symmetric cones. (English). Oxford: Clarendon Press. xii, 382 p. £ 50.00 (1994). [ISBN 0-19-853477-9/hbk]. Two most interesting examples of ...
zmath.impa.br/ cgi-bin/ zmen/ ZMATH/ en/ quick.html?first=1& maxdocs=3& type=pdf& an=0841.43002& format=complete

Gaussian Measures as Limits on Irreducible Symmetric Spaces and ...
68 Analysis on Symmetric Cones (context) - Faraut, Koranyi - 1994 27 An Introduction to Probability Theory (context) - Feller - 1966 11 ere de Furstenberg, ...
citeseer.ist.psu.edu/ 706717.html

Quantization and Analysis on Symmetric Spaces Proceedings of the ...
Quantization and Analysis on Symmetric Spaces. Proceedings of the ESI workshops. Quantization, Complex and Harmonic Analysis ...
ftp.esi.ac.at/ pub/ Preprints/ esi1793.pdf

Françis, Hanges: Analytic regularity for the Bergman kernel
[8] J. Faraut and A. Koranyi, Analysis on symmetric cones^ Oxford University Press, (1994). [9] G. Francsics and N. Hanges, Analytic singularities^ ...
www.numdam.org/ numdam-bin/ fitem?id=JEDP_1998____A5_0

Buraczewski: The Hua system on irreducible Hermitian symmetric ...
[FK] J. FARAUT and A. koréanyi, Analysis On Symmetric Cones, Clarendon Press, Oxford, 1994. [HC] HARISH-CHANDRA, Discrete series for semisimple Lie groups ...
aif.cedram.org/ fitem?id=AIF_2004__54_1_81_0

Bessel convolutions on matrix cones
An excellent reference for analysis on symmetric cones is [FK94]; ... 2.1 Analysis on symmetric cones. Let F be one of the division algebras F = R,C or the ...
journals.cambridge.org/ production/ action/ cjoGetFulltext?fulltextid=1019284

Achab: Représentations des algèbres de rang 2 et fonctions zêta ...
[4] J. FARAUT et A. KORANYI, Analysis on symmetric cones (preprint). Zbl 0841.43002 [5] J. FARAUT et G. TRAVAGLINI, Generalized Bessel Functions, ...
www.numdam.org/ numdam-bin/ fitem?id=AIF_1995__45_2_437_0

arxiv:math.CA/0512474 v1 20 Dec 2005
of analysis on symmetric cones. Indeed, the open cone ..... 2.1 Analysis on symmetric cones. Let F be one of the division algebras F = R,C or the ...
arxiv.org/ pdf/ math.CA/ 0512474.pdf

About the author (1994)

Jacques Faraut is at Universite Pierre et Marie Curie, Paris. Adam Koranyi is at City University of New York.

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