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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1974 Nov;71(11):4622–4624. doi: 10.1073/pnas.71.11.4622

Singular Integrals and the Principal Series, III

A W Knapp *, E M Stein †
PMCID: PMC433940  PMID: 16592201

Abstract

The intertwining operators for nonunitary principal series representations of a real semisimple Lie group are used to construct intertwining operators for all the series of unitary representations appearing in the Plancherel formula. The resulting machinery reduces computations with Harish-Chandra's c-functions and the Plancherel measure to computations with those c-functions and measures obtained from a minimal parabolic subgroup.

Keywords: intertwining operators, semisimple Lie groups

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Knapp A. W., Stein E. M. Singular Integrals and the Principal Series, II. Proc Natl Acad Sci U S A. 1970 May;66(1):13–17. doi: 10.1073/pnas.66.1.13. [DOI] [PMC free article] [PubMed] [Google Scholar]

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