Inverse spectral problem for Jacobi operators and Miura transformation

DOI10.1515/conop-2020-0116zbMath1486.44008OpenAlexW3175852161MaRDI QIDQ2049040

Yanyan Li

Publication date: 24 August 2021

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/conop-2020-0116

zbMATH Keywords

positive operatorsMiura transformationsJacobi operatorsToda latticespower moment problemdeficiency indicesVolterra lattices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Moment problems (44A60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (3)

Deficiency indices of block Jacobi matrices and Miura transformation ⋮ Miura type transform between non-abelian Volterra and Toda lattices and inverse spectral problem for band operators ⋮ On the Links between Miura Transformations of Bogoyavlensky Lattices and Inverse Spectral Problems for Band Operators

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