Book Review
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Book Information:
Authors:
Jacques Faraut and
Adam Koranyi
Title:
Analysis on symmetric cones
Additional book information:
Oxford University Press,
London and New York,
1994,
xii + 382 pp.,
ISBN 0-198-53477-9,
$85.00$
[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
Hongming Ding and Kenneth I. Gross, Operator-valued Bessel functions on Jordan algebras, J. Reine Angew. Math. 435 (1993), 157–196. MR 1203914
Kenneth I. Gross and Donald St. P. Richards, Special functions of matrix argument. I. Algebraic induction, zonal polynomials, and hypergeometric functions, Trans. Amer. Math. Soc. 301 (1987), no. 2, 781–811. MR 882715, DOI 10.1090/S0002-9947-1987-0882715-2
Sigurdur Helgason, Groups and geometric analysis, Pure and Applied Mathematics, vol. 113, Academic Press, Inc., Orlando, FL, 1984. Integral geometry, invariant differential operators, and spherical functions. MR 754767
[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.
Kevin McCrimmon, Jordan algebras and their applications, Bull. Amer. Math. Soc. 84 (1978), no. 4, 612–627. MR 466235, DOI 10.1090/S0002-9904-1978-14503-0
Robb J. Muirhead, Aspects of multivariate statistical theory, Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, Inc., New York, 1982. MR 652932
Ichirô Satake, Algebraic structures of symmetric domains, Kanô Memorial Lectures, vol. 4, Iwanami Shoten, Tokyo; Princeton University Press, Princeton, N.J., 1980. MR 591460
- [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 1203914
- [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 0882715
- [4]
- S. Helgason, Groups and Geometric Analysis, Pure and Applied Mathematics, v. 113, Academic Press, 1984. MR 0754767
- [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 0466235
- [8]
- R. J. Muirhead, Aspects of Multivariate Statistical Theory, Wiley, 1982. MR 0652932
- [9]
- I. Satake, Algebraic Structures of Symmetric Domains, Princeton Univ. Press, 1980. MR 0591460
Review Information:
Reviewer:
Kenneth I. Gross
Affiliation:
University of Vermont
Email:
gross@emba.uvm.edu
Journal:
Bull. Amer. Math. Soc.
35 (1998), 77-86
DOI:
https://doi.org/10.1090/S0273-0979-98-00733-2
Review copyright:
© Copyright 1998
American Mathematical Society
