Signal processing, orthogonal polynomials, and Heun equations
Mathematical Physics
2019-03-04 v1 math.MP
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.
Cite
@article{arxiv.1903.00144,
title = {Signal processing, orthogonal polynomials, and Heun equations},
author = {Geoffroy Bergeron and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:1903.00144},
year = {2019}
}
Comments
18 pages, based on a lecture prepared by Luc Vinet for the AIMS-Volkswagen workshop 2018 in Douala, Cameroun