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math.SP2022
Noncommutative Bispectral Algebras and their Presentations
Brian D. Vasquez, Jorge P. Zubelli
We prove a general result on presentations of finitely-generated algebras and apply it to obtain nice presentations for some noncommutative algebras arising in the matrix bispectra…
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…