Orthogonal polynomials and representation theory

Article

Summary *

We give the Bernstein Polynomials for basic matrix entries of irreducible unitary representations of compact Lie group $SU(2)$. We also give an application to the analytic continuation of certain distributions on $SU(2)$ and finally we briefly describe the Bernstein polynomial for $B_-\times B$-semi-invariant functions on a semisimple complex Lie group. Information provided by the agent in SIGEVA