On the Regularized Trace of a Differential Operator of Sturm-Liouville Type

GÜL E.

Filomat, cilt.36, sa.13, ss.4515-4523, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 13
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2213515g
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.4515-4523
  • Anahtar Kelimeler: Hilbert space, Regularized trace, Spectrum, Trace-class operator
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.