Algebraic Heun operator and band-time limiting
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Publication:1620830
DOI10.1007/S00220-018-3190-0zbMATH Open1405.33025arXiv1711.07862OpenAlexW2770417665WikidataQ129594370 ScholiaQ129594370MaRDI QIDQ1620830
Author name not available (Why is that?)
Publication date: 14 November 2018
Published in: (Search for Journal in Brave)
Abstract: We introduce the algebraic Heun operator associated to any bispectral pair of operators. We show that these operators are natural generalizations of the ordinary Heun operator. This leads to a simple construction of the operators commuting with the projection operators in problems of band-time limiting and it gives a way to adapt a construction first used by Perline in a purely finite setup to quite a few other situations. We also extend his algebraic construction to cover some purely finite cases where his proposal fails to give a useful commuting operator.
Full work available at URL: https://arxiv.org/abs/1711.07862
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