Spectral expansion for the singular Dirac system with impulsive conditions

Pasaoglu Allahverdiev B. , TUNA H.

TURKISH JOURNAL OF MATHEMATICS, vol.42, no.5, pp.2527-2545, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1803-79
  • Title of Journal : TURKISH JOURNAL OF MATHEMATICS
  • Page Numbers: pp.2527-2545

Abstract

In this work, we study the one-dimensional Dirac system on a whole line with impulsive conditions. We construct a spectral function of this system. Using the spectral function, we establish a Parseval equality and spectral expansion formula for such a system.