15 citations · 32 across the 6 of their papers we have counts for
4 papers · 1 filter
Ad-conditions for higher-order recurrences: Dunkl and matrix-valued settings
I. Bono Parisi, F. A. Grünbaum, I. Zurrián
The ad-conditions of Duistermaat and Grünbaum characterize bispectrality for a pair of differential operators. M.~Reach observed that a sequence of functions which is simultaneousl…
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 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…