Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials
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Publication:4550331
DOI10.1088/0266-5611/18/3/325zbMath1001.35116arXivmath/0204155OpenAlexW3104250398MaRDI QIDQ4550331
Walter Van Assche, Jonathan Coussement, Arno B. J. Kuijlaars
Publication date: 19 December 2002
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0204155
Laurent orthogonal polynomialslong-time behaviourHessenberg matrixinverse spectral transformspectral transformrelativistic Toda lattice
Related Items (11)
Continued fractions and integrable systems ⋮ Multidimensional Toda lattices: continuous and discrete time ⋮ Spectral transformation associated with a perturbed \(R_I\) type recurrence relation ⋮ The Jacobi matrices approach to Nevanlinna-Pick problems ⋮ Lax matrices for a 1-parameter subfamily of van Diejen-Toda chains ⋮ Asymptotics of recurrence relation coefficients, Hankel determinant ratios, and root products associated with Laurent polynomials orthogonal with respect to varying exponential weights ⋮ Harmonic analysis of boxed hyperoctahedral Hall-Littlewood polynomials ⋮ Construction of the solution of the inverse spectral problem for a system depending rationally on the spectral parameter, Borg-Marchenko-type theorem and sine-Gordon equation ⋮ An operator approach to multipoint Padé approximations ⋮ Spectrum and generation of solutions of the Toda lattice ⋮ Extended relativistic Toda lattice, L-orthogonal polynomials and associated Lax pair
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