Inverse spectral problem for Jacobi operators and Miura transformation
type: Item
instance of: scholarly article
title: Inverse spectral problem for Jacobi operators and Miura transformation
zbMATH Open document ID: 1486.44008
author: Yanyan Li
published in: Concrete Operators
publication date: 2021-08-24T00:00:00Z
Mathematics Subject Classification ID: 44A60
Mathematics Subject Classification ID: 47B36
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K15
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7384688
zbMATH Keywords: Jacobi operators
zbMATH Keywords: positive operators
zbMATH Keywords: deficiency indices
zbMATH Keywords: power moment problem
zbMATH Keywords: Toda lattices
zbMATH Keywords: Volterra lattices
zbMATH Keywords: Miura transformations
MaRDI profile type: Publication
full work available at URL: conop-2020-0116
OpenAlex ID: W3175852161
cites work: Q5508534
cites work: Q4877167
cites work: Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation
cites work: Q5539254
cites work: The integration of semi-infinite Toda chain by means of inverse spectral problem
cites work: Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Cyclic Operators, Commutators, and Absolutely Continuous Measures
cites work: On Schur flows
cites work: On the Toda and KAC-VAN Moerbeke Systems
cites work: On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
cites work: Three integrable Hamiltonian systems connected with isospectral deformations
cites work: Q5634277
cites work: Q3732103
cites work: On some issues related to the moment problem for the band matrices with operator elements.
cites work: On unbounded commuting Jacobi operators and some related issues
cites work: Inverse Spectral Problems for Second-Order Difference Operators and Their Application to the Study of Volterra Type Systems
cites work: The classical moment problem as a self-adjoint finite difference operator
cites work: The problem of integrable discretization: Hamiltonian approach
cites work: Theory of nonlinear lattices
cites work: Q3836536
cites work: Q4490767
cites work: Korteweg-de Vries equation: a completely integrable Hamiltonian system
DOI: 10.1515/CONOP-2020-0116
description: scientific article; zbMATH DE number 7384688