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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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Acknowledgements

One of us (Luc Vinet) is very grateful to Mama Foupouagnigni, Wolfram Koepf, AIMS (Cameroun) and the Volkswagen Stiftung for the opportunity to lecture in Douala. Geoffroy Bergeron benefitted from a NSERC postgraduate scholarship. The research of Luc Vinet is supported by a NSERC discovery grant and that of Alexei Zhedanov by the National Science Foundation of China (Grant No. 11711015).

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Authors and Affiliations

  1. Centre de recherches mathématiques, Université de Montréal, Montréal, QC, Canada

    Geoffroy Bergeron & Luc Vinet

  2. Department of Mathematics, School of Information, Renmin University of China, Beijing, China

    Alexei Zhedanov

Authors
  1. Geoffroy Bergeron
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  2. Luc Vinet
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  3. Alexei Zhedanov
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Corresponding author

Correspondence to Luc Vinet .

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Editors and Affiliations

  1. University of Yaoundé I, Yaoundé, Cameroon; African Institute for Mathematical Sciences, Limbe, Cameroon

    Mama Foupouagnigni

  2. Institute for Mathematics, University of Kassel, Kassel, Germany

    Wolfram Koepf

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Bergeron, G., Vinet, L., Zhedanov, A. (2020). Signal Processing, Orthogonal Polynomials, and Heun Equations. In: Foupouagnigni, M., Koepf, W. (eds) Orthogonal Polynomials. AIMSVSW 2018. Tutorials, Schools, and Workshops in the Mathematical Sciences . Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-36744-2_11

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