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arXiv · 2108.06997

Matrix Bispectrality of Full Rank One Algebras

Brian D. Vasquez·Jorge P. Zubelli
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Abstract

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 examples illustrating the method. In the first one, we consider the eigenvalue to be scalar-valued, whereas, in the second one, we assume it to be matrix-valued. In the former example, we put forth a Pierce decomposition of that algebra.

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Brian D. Vasquez, Jorge P. Zubelli. 2021-08-16. Matrix Bispectrality of Full Rank One Algebras. https://arxiv.org/abs/2108.06997

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