Regularized traces for a class of singular operators
type: Item
instance of: scholarly article
title: Regularized traces for a class of singular operators
zbMATH Open document ID: 1033.47032
DOI: 10.1023/A:1019290620055
author: I. V. Sadovnichaya
published in: Differential Equations
publication date: 2004-03-21T00:00:00Z
review text: The author considers the operator \((-1)^n \frac{d^{2n}}{dx^{2n}} +x\) in \(L^2[0,\infty)\), with the boundary conditions \(y^{(k_m)}(0)=0\), \(k_n<k_{n-1} <\dots <k_1<2n.\) Let \(\{\lambda_k\}\) be the eigenvalues. The complete asymptotic expansion of \(\lambda_k^{-\sigma}\) as \(k\to \infty\) is found for any complex number \(\sigma\).
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34L05
zbMATH DE Number: 1758753
zbMATH Keywords: ordinary differential operators
zbMATH Keywords: eigenvalues
zbMATH Keywords: asymptotic expansion
reviewed by: Georgi E. Karadzhov
MaRDI profile type: Publication
full work available at URL: a:1019290620055
OpenAlex ID: W81241455
description: scientific article; zbMATH DE number 1758753