15 citations · 32 across the 6 of their papers we have counts for
6 papers
Using quasi-Darboux transformations to construct exceptional matrix polynomials
Ignacio Bono Parisi, Antonio J. Durán, Ignacio N. Zurrián
We introduce a couple of methods to construct exceptional matrix polynomials. One of them uses what we have called quasi-Darboux transformations. This seems to be a more powerful m…
On the basic representation of the double affine Hecke algebra at critical level
J. F. van Diejen, E. Emsiz, I. N. Zurrián
We construct the basic representation of the double affine Hecke algebra at critical level associated to an irreducible reduced affine root system with a reduced gradient…
On a new equivalence relation for matrix-valued orthogonal polynomials
Ignacio Bono Parisi, Inés Pacharoni, Ignacio Zurrián
In this work, we give some criteria that allow us to decide when two sequences of matrix-valued orthogonal polynomials are related via a Darboux transformation and how to build suc…
Bispectrality and Time-Band-Limiting: Matrix valued polynomials
F. Alberto Grünbaum, Inés Pacharoni, Ignacio N. Zurrián
The subject of time-band-limiting, originating in signal processing, is dominated by the miracle that a naturally appearing integral operator admits a commuting differential one al…
Spherical Functions of Fundamental -Types Associated with the -Dimensional Sphere
Juan Alfredo Tirao, Ignacio Nahuel Zurrián
In this paper, we describe the irreducible spherical functions of fundamental -types associated with the pair in terms of matrix hy…
Spherical Functions: The Spheres Vs. The Projective Spaces
Juan Alfredo Tirao, Ignacio Nahuel Zurrián
In this paper we establish a close relationship between the spherical functions of the -dimensional sphere $S^n\simeq\SO(n+1)/\SO(n)$ and the spherical functions of the -dime…