Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1803-79
Keywords
Dirac operator, impulsive conditions, singular point, spectral function, Parseval equality, spectral expansion
First Page
2527
Last Page
2545
Recommended Citation
PAŞAOĞLU, B, & TUNA, H (2018). Spectral expansion for the singular Dirac system with impulsive conditions. Turkish Journal of Mathematics 42 (5): 2527-2545. https://doi.org/10.3906/mat-1803-79
