Spectral concentration and rapidly decaying potentials
type: Item
instance of: scholarly article
title: Spectral concentration and rapidly decaying potentials
zbMATH Open document ID: 0886.34022
DOI: 10.1016/S0377-0427(97)00072-1
author: O. Diekmann
published in: Journal of Computational and Applied Mathematics
publication date: 1998-05-14T00:00:00Z
review text: The spectral function \(\rho(\mu)\), \(\mu\geq 0\) for the Sturm-Liouville equation \[ y''+ (\lambda-q)y=0, \qquad q\in L(0,\infty) \] on \([0,\infty)\) is considered with a boundary condition \[ y(0)\cos \alpha+y'(0) \sin\alpha=0. \] A new formula for \(\rho'\) is given and a test for the existence of points of spectral concentration is discussed. (A point is called a point of spectral concentration if \(\rho'\) has a local maximum there.) Computational investigations are given.
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 1043291
zbMATH Keywords: Prüfer transformation
zbMATH Keywords: Sturm-Liouville equation
zbMATH Keywords: spectral concentration
reviewed by: Josef Diblík
describes a project that uses: SLEDGE
MaRDI profile type: Publication
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Wikidata QID: Q126408316
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description: scientific article; zbMATH DE number 1043291