Spherical functions on symmetric cones

Transactions of the American Mathematical Society

Volumn 349, Issue 9, 1997, Pages 3569-3584

  Sawyer, P ^a  

^a LAURENTIAN UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944445922     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-97-01505-5     Document Type: Article

References (17)

1. H. Braun and M. Koecher, Jordan Algebren, Springer-Verlag, Berlin and Heidelberg, 1966. MR 34:4310
2. Jacques Faraut, Algèbres de Jordan et cônes symétriques, Ecole CIMPA - Université de Poitiers, 22 Août - 16 Septembre, 1988.
3. Jacques Faraut, Fonctions de Legendre sur les algèbres de Jordan, CWI Quarterly 5, no. 4, (1992), 309-320. MR 94e:33025
4. Kenneth I. Gross and D. Richards, Special functions of matrix argument. I: Algebraic induction, zonal polynomials, and hypergeometric functions, Transactions of the American Mathematical Society 301 (1987), 781-811. MR 88m:22018
5. Sigurdur Helgason, Differential operators on homogeneous spaces, Acta Math. 102 (1959), 239-299. MR 22:8457
6. Sigurdur Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, Academic Press, New York, 1978. MR 80k:53081
7. Ulrich Hirzebruch, Über Jordan-Algebren und kompakte Riemannsche symmetrische Räume vom Rang 1, Math. Zeitschr. 90 (1965), 339-354. MR 32:6371
8. Carl S. Herz, Bessel functions of matrix arguments, Annals of Mathematics 61 (1955), 474-523. MR 16:1107e
9. I. G. Macdonald, Symmetric Functions and Hall Polynomials, Oxford University Press, 1979. MR 84g:05003
10. I. G. Macdonald, Commuting differential operators and zonal spherical functions, Lecture Notes in Mathematics, vol. 1271, Springer-Verlag, New York, 1987, pp. 189-200. MR 89e:43025
11. R. J. Muirhead, Aspects of Multivariate Statistical Theory, Wiley, New York, 1982. MR 84c:62073
12. Patrice Sawyer, The heat equation on the symmetric space associated to SL(n,R), Thesis, McGill University, 1989.
13. Patrice Sawyer, The heat equation on spaces of positive definite matrices, Canadian Journal of Mathematics 44 (1992), 624-651. MR 94c:58202
14. Patrice Sawyer, On an upper bound for the heat kernel on SU*(2n)/Sp(n), Canadian Bulletin of Mathematics 37 (1994), 408-418. MR 95k:58156
15. Richard P. Stanley. Some combinatorial properties of Jack symmetric polynomials, Advances in Mathematics 77 (1989), 76-115. MR 90g:05020
16. Hermann Weyl, The Classical Groups, 3rd ed., Princeton University Press, Princeton, New Jersey, 1946. MR l:42c (1st ed.)
17. ZhiMin Yan, Generalized hypergeometric functions and Laguerre polynomials in two variables, Contemporary Mathematics 138 (1992), 239-259. MR 94j:33019