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Book Review
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Book Information
Author(s):
Jacques Faraut and Adam Koranyi
Title:
Analysis on symmetric cones
Additional book information:
Oxford University Press,
London and New York,
1994,
xii + 382,
$85.00,
0-198-53477-9
References:
- [1]
- H. Ding, K. I. Gross, and D. St. P. Richards, Ramanujan's master theorem for symmetric cones, Pacific J. Math. 175 (1996), 447-490. CMP 97:08
- [2]
- H. Ding and K. I. Gross, Operator-valued Bessel functions on Jordan algebras, J. reine angew. Math. 435 (1993), 157-196. MR 93m:33010
- [3]
- K. I. Gross and D. St. P. Richards, Special functions of matrix argument, I: Algebraic induction, zonal polynomials, and hypergeometric functions, Trans. A.M.S. 301 (1987), 781-811. MR 88m:22018
- [4]
- S. Helgason, Groups and Geometric Analysis, Pure and Applied Mathematics, v. 113, Academic Press, 1984. MR 86c:22017
- [5]
- P. Jordan, J. von Neumann, and E. Wigner, On an algebraic generalization of the quantum mechanical formalism, Annals of Math. 36 (1934), 29-64.
- [6]
- M. Koecher, Jordan Algebras and Their Applications, lecture notes, University of Minnesota, 1962.
- [7]
- K. McCrimmon, Jordan algebras and their applications, Bull. A.M.S. 84 (1978), 612-627. MR 57:6115
- [8]
- R. J. Muirhead, Aspects of Multivariate Statistical Theory, Wiley, 1982. MR 84c:62073
- [9]
- I. Satake, Algebraic Structures of Symmetric Domains, Princeton Univ. Press, 1980. MR 82i:32003
Additional Information:
Reviewer(s):
Kenneth
I.
Gross
Affiliation:
University of Vermont
Email:
gross@emba.uvm.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
35
(1998),
77-86.
MSC
(1991):
Primary 22E30, 32M15, 43A85, 17C10;
Secondary 43A90, 32A37, 32H99, 33C50, 62H99
DOI:
10.1090/S0273-0979-98-00733-2
PII:
S 0273-0979(98)00733-2
Copyright of article:
Copyright
1998,
American Mathematical Society
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