Singular Integrals and the Principal Series, II

  1. A. W. Knapp* and
  2. E. M. Stein†
  1. CORNELL UNIVERSITY, ITHACA, NEW YORK
  2. PRINCETON UNIVERSITY, PRINCETON, NEW JERSEY

Abstract

A further study is made of the intertwining operators for the representations of the simple Lie groups of real rank one. We extend and apply this to the higher rank case, obtaining various results dealing with reducibility of principal series and existence of complementary series.

Footnotes

  • ↵ * Supported by National Science Foundation grant GP 11767.

  • ↵ † Supported by Air Force Office of Scientific Research grant AF 68-1467.

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  1. PNAS May 1, 1970 vol. 66 no. 1 13-17
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