General methods for constructing bispectral operators

Abstract

We present methods for obtaining new solutions to the bispectral problem. We achieve this by giving its abstract algebraic version suitable for generalizations. All methods are illustrated by new classes of bispectral operators.

11 pages, LaTeX2e, uses amsfonts.sty and latexsym.sty, no figures

References in corpus (3)

• Bispectral algebras of commuting ordinary differential operators
• Bispectral Darboux Transformations: The Generalized Airy Case
• Bäcklund--Darboux transformations in Sato's Grassmannian

Cited by in corpus (26)

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• Darboux Transformations of Bispectral Quantum Integrable Systems
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• Discrete bispectral Darboux transformations from Jacobi operators
• Galois theory of fuchsian q-difference equations
• The Pascal Matrix, Commuting Tridiagonal Operators and Fourier Algebras
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• The prolate spheroidal phenomena and bispectrality
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• Solution of Second Order Supersymmetrical Intertwining Relations in Minkowski Plane
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