Direct and inverse problems for a periodic Jacobi matrix
type: Item
instance of: scholarly article
title: Direct and inverse problems for a periodic Jacobi matrix
zbMATH Open document ID: 0645.47043
DOI: 10.1007/BF01056656
author: N. V. Zhernakov
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: The author considers the inverse problem for a second order difference operator with periodic coefficients. He describes the form of the corresponding spectral function (matrix), and characterizes, in particular, all matrix functions which occur as spectral functions of such operators. These results may be considered as ``discrete analogue'' to the well-known Gel'fand-Levitan-Marchenko-theory on Sturm-Liouville operators.
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 47B39
Mathematics Subject Classification ID: 34L99
Mathematics Subject Classification ID: 34A55
zbMATH DE Number: 4052391
zbMATH Keywords: periodic Jacobi matrix
zbMATH Keywords: inverse problem for a second order difference operator with periodic coefficients
zbMATH Keywords: spectral function
zbMATH Keywords: Gel'fand-Levitan- Marchenko-theory on Sturm-Liouville operators
reviewed by: Jürgen Appell
MaRDI profile type: Publication
cites work: Q3276772
cites work: Q3695595
cites work: Q4183612
cites work: Theory of nonlinear lattices
cites work: Q3675016
full work available at URL: https://doi.org/10.1007/bf01056656
OpenAlex ID: W2077253013
description: scientific article; zbMATH DE number 4052391