In this paper, the series of representations constructed by M. Flensted-Jensen in [3] and [4] are considered. The main results of [8], on lowest K-types and Langlands parameters of the representations of [3] in the equal rank case, are generalized to the other series as well. The representations are identified with subquotients of parabolically induced representations. The parabolic subgroup we use, $P = MAN$, is cuspidal, and moreover, the symmetric space $M / M\cap H$ satisfies the equal rank condition. The inducing representation $\pi\otimes\nu\otimes 1$ of $MAN$ is given by a Flensted-Jensen representation $\pi$ of M , and thus the determination of Langlands parameters is reduced to Flensted-Jensen representations of M . Further, these results imply unitarity of the representations under certain conditions (see Theorem 4 ). Since the proofs of some of our results are rather straightforward generalizations of those of [8], we do not give all the details in these cases, but refer to [8] instead. Our results generalize some results of G . Olafsson [5], [6] (in fact, Theorem 1 and 3 below were obtained before we received [5] and [6]). The author expresses his gratitude to the organizers of the conference for the invitation to participate.