Algebraic Heun operator and band-time limiting
type: Item
instance of: scholarly article
title: Algebraic Heun operator and band-time limiting
zbMATH Open document ID: 1405.33025
author: Luc Vinet
author: Alexei Zhedanov
author: F. Alberto Grünbaum
published in: Communications in Mathematical Physics
publication date: 2018-11-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1711.07862
review text: The authors introduce the algebraic Heun operator which can be obtained from any pair of bispectral operators and apply it to construct commute differential operators in the theory of time and band limiting. The algebraic Heun operator generalizes the ordinary one. The Heun operators are introduced through a simple bilinear Ansatz in terms of tridiagonal operators related to the Askey scheme and then the authors consider differential operators instead of tridiagonal matrices and study the commuting properties of these operators with projectors onto an interval. They apply their approach to the case of classical polynomials and extend it to Bannai-Ito polynomials and anti-Krawtchouk polynomials.
reviewed by: Chrysoula G. Kokologiannaki
Mathematics Subject Classification ID: 33D45
Mathematics Subject Classification ID: 33D99
Mathematics Subject Classification ID: 39B42
zbMATH DE Number: 6979371
zbMATH Keywords: algebraic Heun operator
zbMATH Keywords: bispectral pair of operators
zbMATH Keywords: anti-Krawtchouk polynomials
MaRDI profile type: Publication
OpenAlex ID: W2770417665
arXiv ID: 1711.07862
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Wikidata QID: Q129594370
DOI: 10.1007/S00220-018-3190-0
description: scientific article