A second regularized trace formula for a higher order differential operator

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Gül E.

Mathematical Methods in the Applied Sciences, vol.44, no.6, pp.5099-5109, 2021 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 44 Issue: 6
  • Publication Date: 2021
  • Doi Number: 10.1002/mma.7094
  • 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.5099-5109
  • Keywords: Hilbert space, regularized trace, resolvent, self&#8208, adjoint operator, spectrum
  • Open Archive Collection: AVESIS Open Access Collection
  • Yıldız Technical University Affiliated: Yes

Abstract

© 2020 John Wiley & Sons, Ltd.In this paper, we obtain a second regularized trace formula on L2([0, π]; H) for a higher order self-adjoint differential operator with unbounded operator-valued coefficient, where H is a separable Hilbert space.