The unitary spectrum for real rank one groups

@article{Silva1983TheUS,
  title={The unitary spectrum for real rank one groups},
  author={M. W. Baldoni Silva and Dan Mihai Barbasch},
  journal={Inventiones mathematicae},
  year={1983},
  volume={72},
  pages={27-55}
}
Let G be a connected real semi-simple Lie group with finite center. One of the main problems in harmonic analysis is to determine the unitary spectrum of G. In this paper we treat this question in the case when real rank of G is I. Although the answer was known for G of classical type previously ([2], [5], [7], [15]), we have redone this work sometimes giving simpler arguments. With the arbitrary rank case in mind we have tried to deal with the problem of classifying unitary representations in… CONTINUE READING