On the Regularized Trace of a Differential Operator of Sturm-Liouville Type
Filomat, vol.36, no.13, pp.4515-4523, 2022 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 36 Issue: 13
- Publication Date: 2022
- Doi Number: 10.2298/fil2213515g
- Journal Name: Filomat
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Page Numbers: pp.4515-4523
- Keywords: Hilbert space, Regularized trace, Spectrum, Trace-class operator
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
Abstract
In this work, we study a spectral problem for the abstract Sturm-Liouville operator with a bounded operator coefficient V(t) and with periodic boundary conditions on the interval [0, π], and we present a regularized trace formula for this operator.