  We consider a class of domains, generalizing the upper half-plane, and
admitting rotational, translational and scaling symmetries, analogous to the
half-plane. We prove Paley-Wiener type representations of functions in Bergman
spaces of such domains with respect to each of these three groups of
symmetries. The Fourier series, Fourier integral and Mellin integral
representations so obtained may be used to give representations of the Bergman
kernels of these domains.
