Second regularized trace of a differential operator of Sturm–Liouville type

Gül, Erdal; Karayel, Serpil

doi:10.1002/mma.9874

Second regularized trace of a differential operator of Sturm–Liouville type

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Gül E., Karayel S.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.47, no.7, pp.5461-5483, 2024 (SCI-Expanded)

Publication Type: Article / Article
Volume: 47 Issue: 7
Publication Date: 2024
Doi Number: 10.1002/mma.9874
Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
Page Numbers: pp.5461-5483
Yıldız Technical University Affiliated: Yes

Abstract

We consider a Sturm–Liouville‐type differential operator defined on a separable Hilbert space with bounded operator coefficient and periodic boundary conditions given on a finite interval. We obtain an explicit formula which we call the second regularized trace formula of the mentioned operator.