Matrix Valued Spherical Functions Associated to the Three Dimensional Hyperbolic Space

F. A. Grunbaum, I. Pacharoni, J. Tirao

The main purpose of this paper is to compute all irreducible spherical functions on $G=SL(2,\mathbb{C})$ of arbitrary type $\delta \in \hat{K}$, where $K=SU(2)$. This is accomplished…