Matrix elements of irreducible representations of $\mathrm{SU}(n+1)\times \mathrm{SU}(n+1)$ and multivariable matrix-valued orthogonal polynomials

Erik Koelink, Maarten van Pruijssen, Pablo Román

In Part 1 we study the spherical functions on compact symmetric pairs of arbitrary rank under a suitable multiplicity freeness assumption and additional conditions on the branching…