AN OVERGROUP AND A POISSON TRANSFORM FOR A PARA-HERMITIAN SPACE
For canonical representations on the para-Hermitian space G/H, G =SL(2,R), H the diagonal subgroup (so that G/H is a hyperboloid of one sheet in R<sup>3</sup>), we determine explicitly the interaction of Lie operators of the overgroup G×G with Poisson transforms related to canonical representations