ON THE RESOLVENT OPERATOR OF DYNAMIC DIRAC OPERATORS


Allahverdiev B. P., Tuna H.

Advances in Mathematical Sciences and Applications, vol.32, no.1, pp.1-16, 2023 (Scopus)

  • Publication Type: Article / Article
  • Volume: 32 Issue: 1
  • Publication Date: 2023
  • Journal Name: Advances in Mathematical Sciences and Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.1-16
  • Keywords: Dirac operator, resolvent operator, singular point, spectral function, Time scale, Titchmarsh–Weyl function
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this article, we investigate the resolvent of dynamic Dirac operators on unbounded time scales. For the resolvent of these operators, integral representations are obtained. Finally, a formula for the Titchmarsh–Weyl function is given.