3 papers
math.AP2022
Characterization of Rational Solutions of a KdV-Like Equation
Brian D. Vasquez
We characterize the rational solutions to a KdV-like equation which are generated from polynomial solutions to the corresponding generalized bilinear equation. We use a particular…
math.FA2022
Matrix Bispectrality and Noncommutative Algebras: beyond the prolate spheroidals
F. Alberto Grünbaum, Brian D. Vasquez, Jorge P. Zubelli
The bispectral problem is motivated by an effort to understand and extend a remarkable phenomenon in Fourier analysis on the real line: the operator of time-and-band limiting is an…
math.AP2021
Matrix Bispectrality of Full Rank One Algebras
Brian D. Vasquez, Jorge P. Zubelli
We study algebraic properties of full rank 1 algebras in a general framework and derive a method to verify if one such matrix polynomial sub-algebra is bispectral. We give two exam…