J. Hilgert et B. Krotz, Representations, characters, and spherical functions associated to causal symmetric spaces, J FUNCT ANA, 169(2), 1999, pp. 357-390
In this paper we study spherical unitary highest weight representations ass
ociated to a compactly causal symmetric space and use the results to prove
estimates for the corresponding spherical functions of the c-dual non-compa
ctly causal symmetric space. Such estimates turn out to be useful in determ
ining the spectra of the associated weighted Bergman spaces. (C) 1999 Acade
mic Press.