Jacobi-Perron algorithms, bi-orthogonal polynomials and inverse scattering problems
type: Item
instance of: scholarly article
title: Jacobi-Perron algorithms, bi-orthogonal polynomials and inverse scattering problems
zbMATH Open document ID: 0598.47008
author: Yoshifumi Kato
author: Kazuhiko Aomoto
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1984-01-01T00:00:00Z
review text: The purpose of this note is to construct 3rd order linear difference operators by Jacobi-Perron algorithms as a generalization of continued fractions and to prove an equivalence between linear evolution equations of spectral densities and Lax type equations.
Mathematics Subject Classification ID: 47A40
Mathematics Subject Classification ID: 47B39
zbMATH DE Number: 3964746
zbMATH Keywords: bi-orthogonal polynomials
zbMATH Keywords: inverse scattering
zbMATH Keywords: 3rd order linear difference operators
zbMATH Keywords: Jacobi-Perron algorithms
zbMATH Keywords: generalization of continued fractions
zbMATH Keywords: linear evolution equations of spectral densities
zbMATH Keywords: Lax type equations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195181415
OpenAlex ID: W2051603205
cites work: Q4106555
cites work: Q5539254
cites work: The Jacobi-Perron algorithm its theory and application
cites work: On the Toda Lattice. II: Inverse-Scattering Solution
cites work: On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
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cites work: On Ordinary Differential Equations of any Even Order and the Corresponding Eigenfunction Expansions
cites work: Q4479680
cites work: Q5832207
cites work: The spectrum of difference operators and algebraic curves
cites work: Q4334625
DOI: 10.2977/PRIMS/1195181415
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description: scientific article; zbMATH DE number 3964746