Bispectral Darboux transformations: The generalized Airy case

DOI10.1016/S0167-2789(96)00208-4zbMath0890.58095arXivq-alg/9606018OpenAlexW2028548601MaRDI QIDQ678323

Alex Kasman, Mitchell J. Rothstein

Publication date: 16 April 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9606018

zbMATH Keywords

Sato GrassmannianDarboux transformationsspectral geometryAiry operatorsbispectral operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (17)

Askey-Wilson type functions with bound states ⋮ The matrix Bochner problem ⋮ Noncommutative bispectral Darboux transformations ⋮ Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals ⋮ Matrix valued discrete-continuous functions with the prolate spheroidal property and bispectrality ⋮ Integral operators, bispectrality and growth of Fourier algebras ⋮ Higher-order heat equation and the Gelfand-Dickey hierarchy ⋮ Algebras of commuting differential operators for kernels of Airy type ⋮ The adelic Grassmannian and exceptional Hermite polynomials ⋮ General methods for constructing bispectral operators ⋮ Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem ⋮ The trigonometric grassmannian and a difference \(W\)-algebra ⋮ Recurrence relations for exceptional Hermite polynomials ⋮ \(q\)-KP hierarchy, bispectrality and Calogero-Moser systems ⋮ Some functions that generalize the Krall-Laguerre polynomials ⋮ Kernel inspired factorizations of partial differential operators ⋮ Fuchsian bispectral operators

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• Time‐band limiting and the bispectral problem
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