References
H. Braun and M. Koecher, Jordan-Algebren, Springer, Berlin Heidelberg New York, 1966
J. Faraut and A. Koranyi, Function spaces and reproducing kernels on bounded symmetric domains, J. Func. Anal.89 (1990), 64–89
S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, Academic Press, London 1978
S. Helgason, Groups and Geometric Analysis, Academic Press, London, 1984
R. Howe and E. Tan, Homogeneous Functions on Light Cones: the Infinitesimal Structure of Some Degenerate Principal Series Representations, Bull. Amer. Math. Soc.28 (1993), 1–74
R. Howe and T. Umeda, The Capelli identity, the double commutant theorem, and multiplicity free action. Math. Ann.290 (1991), 565–619
N. Jacobson, Structure and representations of Jordan algebras, Colloquium Publ., vol. 36, Amer. Math. Soc., Providence, Rhode Island, 1968
K.D. Johnson, Degenerate principal series and compact groups, Math. Ann.287 (1991), 703–718
K.D. Johnson, Degenerate principal series on tube type domains, Contemp. Math.138 (1992), 175–187
B. Kostant and S. Sahi, The Capelli Identity, Tube Domains, and the Generalized Laplace Transform, Adv. Math.87 (1991), 71–92
B. Kostant and S. Sahi, Jordan algebras and Capelli Identities, Invent. Math.112 (1993), 657–664
O. Loos, Bounded Symmetric Domains and Jordan Pairs, University of California, Irvine, 1977
B. Ørsted and G. Zhang, Generalized principal series representations and tube domains, Duke Math. J., to appear
S. Sahi, Unitary representations on the Shilov boundary of a symmetric tube domain, Representations of Groups and Algebras (Contemp. Math. vol. 145), Am. Math. Soc., Providence, 1993
S. Sahi, Jordan algebras and degenerate principal series, to appear
N.J. Vilenkin, Special functions and the theory of group representations, Transl. Math. Monographs, vol. 22, Amer. Math. Soc., Providence, Rhode Island, 1968
L. Vretare, Elementary spherical functions on symmetric spaces, Math. Scand.39 (1976), 343–358
D.P. Zelobenko, Compact Lie groups and their representations, Transl. Math. Monographs, vol. 40, Amer. Math. Soc., Providence, Rhode Island, 1973
G. Zhang, Some recurrence formulas for spherical polynomials on tube domains, to appear, Trans. Amer. Math. Soc.