Asymptotic behavior of the spectral function of an operator family
type: Item
instance of: scholarly article
title: Asymptotic behavior of the spectral function of an operator family
zbMATH Open document ID: 0937.34070
DOI: 10.1007/BF02355090
author: A. S. Pechentsov
author: A. Yu Popov
published in: Mathematical Notes
publication date: 1999-03-23T00:00:00Z
review text: Let \(\alpha \) be a real number, \(\cot \alpha >0\), and let \(Q\in C(0, +\infty)\). The behaviour is investigated as \(\varepsilon \) tends to \(0\) of the derivative of the spectral function on \((-\infty ,0)\) of the operator defined by the differential expression \(-y''(x) + \varepsilon Q(x)y(x)\) with the boundary condition \(y(0)\cos \alpha + y'(0)\sin \alpha = 0\).
Mathematics Subject Classification ID: 34L20
zbMATH DE Number: 1238057
zbMATH Keywords: second-order differential operator
zbMATH Keywords: spectral function
reviewed by: Gheorghe Moroşanu
MaRDI profile type: Publication
cites work: Q5631649
cites work: Q3695595
cites work: Q4183612
cites work: Some theorems on perturbation theory. Ill
description: scientific article; zbMATH DE number 1238057