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

Jacobi-Perron algorithms, bi-orthogonal polynomials and inverse scattering problems (Q1079790)

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scientific article; zbMATH DE number 3964746
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Jacobi-Perron algorithms, bi-orthogonal polynomials and inverse scattering problems
scientific article; zbMATH DE number 3964746

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    Jacobi-Perron algorithms, bi-orthogonal polynomials and inverse scattering problems (English)
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    1984
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    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.
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    bi-orthogonal polynomials
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    inverse scattering
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    3rd order linear difference operators
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    Jacobi-Perron algorithms
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    generalization of continued fractions
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    linear evolution equations of spectral densities
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    Lax type equations
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