- Turkish Journal of Mathematics
- Vol: 42 Issue: 5
- Spectral expansion for the singular Dirac system with impulsive conditions
Spectral expansion for the singular Dirac system with impulsive conditions
Authors : Bilender Paşaoğlu, Hüseyin Tuna
Pages : 2527-2545
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Dirac operator, impulsive conditions, singular point, spectral function, Parseval equality, spectral expansion