Spectral expansion for the singular Dirac system with impulsive conditions

Pasaoglu Allahverdiev B. , TUNA H.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, ss.2527-2545, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1803-79
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.2527-2545

Özet

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.