6 citations · 11 across the 6 of their papers we have counts for
6 papers
The bispectral problem, the Darboux process, monodromy and the Hermite operator
M. M. Castro, F. A. Grünbaum
The complete solution of the bispectral problem for the Schrödinger operator in [DG] (J. J. Duistermaat and F. A. Grünbaum, Differential equations in th…
Time and band limiting for exceptional polynomials
M. M. Castro, F. A. Grünbaum, I. Zurrián
The "time-and-band limiting" commutative property was found and exploited by D. Slepian, H. Landau and H. Pollak at Bell Labs in the 1960's, and independently by M. Mehta and later…
A new commutativity property of exceptional orthogonal polynomials
M. M. Castro, F. A. Grünbaum
We exhibit three examples showing that the "time-and-band limiting" commutative property found and exploited by D. Slepian, H. Landau and H. Pollak at Bell Labs in the 1960's, and…
Structural formulas for matrix-valued orthogonal polynomials related to hypergeometric operators
C. Calderón, M. M. Castro
We give some structural formulas for the family of matrix-valued orthogonal polynomials of size introduced by C. Calderón et al. in an earlier work, which are common ei…
A further look at time-and-band limiting for matrix orthogonal polynomials
M. Castro, F. A. Grünbaum, I. Pacharoni +1
We extend to a situation involving matrix valued orthogonal polynomials a scalar result that originates in work of Claude Shannon and a ground-breaking series of papers by D. Slepi…
Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits
Jorge Borrego, Mirta Castro, Antonio J. Durán
We introduce a family of weight matrices of the form , , where is certain nilpotent matrix and …