Intertwining functions on compact Lie groups. (English) Zbl 0553.43005
CWI Tracts, 5. Centrum voor Wiskunde en Informatica. Amsterdam: Mathematisch Centrum. 86 p. Dfl. 13.20 (1984).
L. Vretare [Math. Scand. 39, 343–358 (1976; Zbl 0387.43009)] proved that the spherical functions on a Riemannian symmetric space of the compact type of rank \(l\) are orthogonal polynomials in \(l\) variables with respect to a certain positive weight function. In this thesis, this result is generalized to intertwining functions.
Reviewer: Evelyn Weimar-Woods (Berlin)
MSC:
43A90 | Harmonic analysis and spherical functions |
53C35 | Differential geometry of symmetric spaces |