Browsing by Author "Zurrián, Ignacio Nahuel"
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Matrix Gegenbauer polynomials : the 2×2 fundamental cases
Pacharoni, María Inés; Zurrián, Ignacio Nahuel (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 ... -
Spherical functions of fundamental K-types associated with the n-dimensional sphere
Tirao, Juan Alfredo; Zurrián, Ignacio Nahuel (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 ... -
Time and band limiting for matrix valued functions, an example
Grünbaum, Francisco Alberto; Pacharoni, María Inés; Zurrián, Ignacio Nahuel (2015)The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the ...