Search
Now showing items 1-3 of 3
Spherical functions of fundamental K-types associated with the n-dimensional sphere
(2014)
In this paper, we describe the irreducible spherical functions of fundamental K-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that ...
Spherical functions associated with the three dimensional sphere
(2014)
In this paper, we determine all irreducible spherical functions of any K-type associated to the pair (G;K) = (SO(4); SO(3)). This is accomplished by associating to a vector valued function H = H(u) of a real variable ...
Matrix Gegenbauer polynomials : the 2×2 fundamental cases
(2016)
In this paper, we exhibit explicitly a sequence of 2 × 2 matrix valued orthogonal polynomials
with respect to a weight W p,n , for any pair of real numbers p and n such that 0 < p < n. The entries of these polynomiales ...