A spectral analysis for self-adjoint operators generated by a class of second order difference equations
type: Item
instance of: scholarly article
title: A spectral analysis for self-adjoint operators generated by a class of second order difference equations
zbMATH Open document ID: 0857.39008
author: Stephen L. Clark
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-02-18T00:00:00Z
review text: The equation \(-a_ny_{n+1} + b_ny_n-a_{n-1} y_{n-1} = zw_ny_n\) is said to be a limit point if for some value of \(z\), there is a solution \(\{y_n(z)\} \in \ell^2_w\); otherwise, the sequence is said to be a limit circle. The author obtains a qualitative spectral analysis of the self-adjoint realization of this equation [which of course is entirely discrete] with the help of the above mentioned classifications.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 47B39
zbMATH DE Number: 902440
zbMATH Keywords: self-adjoint operators
zbMATH Keywords: second order difference equations
zbMATH Keywords: limit point
zbMATH Keywords: limit circle
zbMATH Keywords: spectral analysis
reviewed by: B. M. Agrawal
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0020
OpenAlex ID: W1970328235
DOI: 10.1006/JMAA.1996.0020
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description: scientific article; zbMATH DE number 902440