Signal Processing, Orthogonal Polynomials, and Heun Equations

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Abstract

A survey of recents advances in the theory of Heun operators is offered. Some of the topics covered include: quadratic algebras and orthogonal polynomials, differential and difference Heun operators associated to Jacobi and Hahn polynomials, connections with time and band limiting problems in signal processing.

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Bergeron, G., Vinet, L., & Zhedanov, A. (2020). Signal Processing, Orthogonal Polynomials, and Heun Equations. In Tutorials, Schools, and Workshops in the Mathematical Sciences (pp. 195–214). Birkhauser. https://doi.org/10.1007/978-3-030-36744-2_11

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