Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
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Publication:1034048
DOI10.1016/j.jmaa.2009.07.025zbMath1181.37084OpenAlexW1965751772MaRDI QIDQ1034048
D. Barrios Rolanía, Amílcar Branquinho, Ana Foulquié Moreno
Publication date: 10 November 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10773/8427
Related Items (12)
Inverse spectral problem for band operators and their sparsity criterion in terms of inverse problem data ⋮ The symmetrization problem for multiple orthogonal polynomials ⋮ An inverse spectral problem for a special class of band matrices and Bogoyavlensky lattice ⋮ Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials ⋮ On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials ⋮ On the Links between Miura Transformations of Bogoyavlensky Lattices and Inverse Spectral Problems for Band Operators ⋮ Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials ⋮ Inverse Spectral Problems for Second-Order Difference Operators and Their Application to the Study of Volterra Type Systems ⋮ Unnamed Item ⋮ Matrix interpretation of multiple orthogonality ⋮ Inverse spectral problem for Jacobi operators and Miura transformation ⋮ Multiple orthogonal polynomials: Pearson equations and Christoffel formulas
Cites Work
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- Vector orthogonal relations. Vector QD-algorithm
- Completely integrable nonlinear dynamical systems of the Langmuir chains type
- The genetic sums' representation for the moments of a system of Stieltjes functions and its application
- Padé approximants and complex high order Toda lattices
- The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials
- SOME CONSTRUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS
- INTEGRABLE DYNAMICAL SYSTEMS ASSOCIATED WITH THE KdV EQUATION
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