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Paper detail

Matrix Bispectrality and Noncommutative Algebras: beyond the prolate spheroidals

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 integral operator admitting a second-order differential operator with a simple spectrum in its commutator. In this article, we discuss a noncommutative version of the bispectral problem, obtained by allowing all objects in the original formulation to be matrix-valued. Deep attention is given to bispectral algebras and their presentations as a tool to get information about bispectral triples.

preprint2022arXivOpen access
F. Alberto GrünbaumBrian D. VasquezJorge P. Zubelli
math.OAmath.FA
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F. Alberto GrünbaumBrian D. VasquezJorge P. Zubelli

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