SINGULAR INTEGRALS AND THE PRINCIPAL SERIES
- 1 June 1969
- journal article
- research article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 63 (2) , 281-284
- https://doi.org/10.1073/pnas.63.2.281
Abstract
The L2 theory of singular integral operators on nilpotent Lie groups is studied, extending known results for IRn. The intertwining operators for the representations of the simple Lie groups of real rank one turn out to be of this type. As a result we determine which representations of the principal series of these groups are irreducible.Keywords
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