Traces of differential operators
type: Item
instance of: scholarly article
title: Traces of differential operators
zbMATH Open document ID: 1177.47054
DOI: 10.1134/S0012266109040028
published in: Differential Equations
publication date: 2009-10-08T00:00:00Z
review text: The paper presents a survey of the theory of regularized traces of linear differential operators with a discrete spectrum. Several results and methods are provided, and some applications are discussed.
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47-02
zbMATH DE Number: 5611055
zbMATH Keywords: differential operators
zbMATH Keywords: regularised traces
zbMATH Keywords: discrete spectrum
author: V. A. Sadovnichy
author: V. E. Podol'skii
reviewed by: V. A. Yurko
MaRDI profile type: Publication
cites work: Q5513236
cites work: Q5519306
cites work: Q5520176
cites work: Q5552304
cites work: Q5568584
cites work: Q5548468
cites work: Q4063777
cites work: Regularized traces of differential operators. The Lidskii-Sadovnichii method
cites work: Traces of one class of singular differential operators. The Lidskii-Sadovnichii method
cites work: Q3345108
cites work: Q3961795
cites work: Spectral properties of second-order differential operators with a discontinuous positive weight function
cites work: Q3469427
cites work: Q3957196
cites work: Regularized traces of multipoint problems
cites work: Finite-dimensional perturbations of discrete operators and formulas for traces
cites work: Q3887784
cites work: The eigenvalue and trace of the Sturm-Liouville operator as differentiable functions of a summable potential
cites work: Asymptotics of eigenvalues and eigenfunctions and the trace formula for a potential that contains \(\delta\)-functions.
cites work: Spectral functions and regularized traces of singular differential operators of higher orders
cites work: Q4224240
cites work: Q5815044
cites work: Q3364730
description: scientific article; zbMATH DE number 5611055