Noncommutative bispectral Darboux transformations
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Publication:5347285
DOI10.1090/tran/6950zbMath1368.37080arXiv1508.07879OpenAlexW2964241445MaRDI QIDQ5347285
Joel Geiger, Emil Horozov, Milen T. Yakimov
Publication date: 23 May 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.07879
Difference operators (39A70) Rings of differential operators (associative algebraic aspects) (16S32) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Spectral theory of functional-differential operators (34K08)
Related Items
Matrix bispectrality of full rank one algebras, The matrix Bochner problem, Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals, Matrix valued discrete-continuous functions with the prolate spheroidal property and bispectrality, The spectral matrices associated with the stochastic Darboux transformations of random walks on the integers, Elementary examples of solutions to Bochner's problem for matrix differential operators
Cites Work
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- Some noncommutative matrix algebras arising in the bispectral problem
- Differential equations in the spectral parameter
- Krall-Jacobi commutative algebras of partial differential operators
- Bispectral Darboux transformations: The generalized Airy case
- Bispectrality of \(N\)-component KP wave functions: a study in non-commutativity
- Differential equations in the spectral parameter for matrix differential operators
- Spin Calogero particles and bispectral solutions of the matrix KP hierarchy
- Quasideterminants. I
- Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
- Bispectral algebras of commuting ordinary differential operators
- Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
- Matrix inner product having a matrix symmetric second-order differential operator
- A noncommutative version of the bispectral problem.
- Matrix valued orthogonal polynomials of the Jacobi type
- Automorphisms and ideals of the Weyl algebra
- Differential equations compatible with KZ equations
- Matrix valued spherical functions associated to the complex projective plane
- Determinants of matrices over noncommutative rings
- The \(q\)-version of a theorem of Bochner
- General methods for constructing bispectral operators
- Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem
- Bispectral commutative ordinary differential operators.
- Matrix-valued bispectral operators and quasideterminants
- Homological Algebra on a Complete Intersection, with an Application to Group Representations
- On a zero curvature problem related to the ZS–AKNS operator
- Monodromy of the matrix Schrödinger equations and Darboux transformations
- Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory
