Singular Integrals and the Principal Series, IV
- 1 June 1975
- journal article
- research article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 72 (6) , 2459-2461
- https://doi.org/10.1073/pnas.72.6.2459
Abstract
The intertwining operators that have been constructed for all the series of unitary representations appearing in the Plancherel formula of a connected real semisimple Lie group of matrices are given a new normalization and then applied in two ways. The first is to obtain dimension formulas for the commuting algebras of the unitary representations in question. The second is to establish the existence of complementary series. These bear the same relationship to the unitary representations under study that the complementary series found earlier bear to the principal series.Keywords
This publication has 1 reference indexed in Scilit:
- Singular Integrals and the Principal Series, IIIProceedings of the National Academy of Sciences, 1974