Jacobi-Perron algorithms, bi-orthogonal polynomials and inverse scattering problems

DOI10.2977/prims/1195181415zbMath0598.47008OpenAlexW2051603205MaRDI QIDQ1079790

Kazuhiko Aomoto, Yoshifumi Kato

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195181415

zbMATH Keywords

inverse scatteringJacobi-Perron algorithmsbi-orthogonal polynomials3rd order linear difference operatorsgeneralization of continued fractionsLax type equationslinear evolution equations of spectral densities

Mathematics Subject Classification ID

Linear difference operators (47B39) Scattering theory of linear operators (47A40)

Related Items (3)

Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions ⋮ Hermite-Padé approximation, isomonodromic deformation and hypergeometric integral ⋮ Schur flow for orthogonal polynomials on the unit circle and its integrable discretization

Cites Work

• The spectrum of difference operators and algebraic curves
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• The Jacobi-Perron algorithm its theory and application
• On the Toda Lattice. II: Inverse-Scattering Solution
• On Ordinary Differential Equations of any Even Order and the Corresponding Eigenfunction Expansions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Jacobi-Perron algorithms, bi-orthogonal polynomials and inverse scattering problems