A general trace formula for a differential operator on a segment with zero order coefficient perturbed by a finite signed measure

E. D. Gal'kovskiĭ, A. I. Nazarov

Research output

Abstract

A first order trace formula is obtained for a second order differential operator on a segment in the case where the perturbation is an operator of multiplication by a finite signed measure.

Original languageEnglish
Pages (from-to)411-427
Number of pages17
JournalSt. Petersburg Mathematical Journal
Volume30
Issue number3
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

Signed Measure
Trace Formula
Differential operator
Multiplication
First-order
Perturbation
Zero
Coefficient
Operator

Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

Cite this

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abstract = "A first order trace formula is obtained for a second order differential operator on a segment in the case where the perturbation is an operator of multiplication by a finite signed measure.",
keywords = "Ces{\`a}ro summability, Regularized trace, Singular potential",
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