Singular integrals and the principal series.
The L(2) theory of singular integral operators on nilpotent Lie groups is studied, extending known results for IR(n). 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.
SCHOOL OF MATHEMATICS, INSTITUTE FOR ADVANCED STUDY, PRINCETON, NEW JERSEY.
A W
AW
Knapp
E M
EM
Stein