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.
Dirac operator, impulsive conditions, singular point, spectral function, Parseval equality, spectral expansion
PAŞAOĞLU, BİLENDER and TUNA, HÜSEYİN
"Spectral expansion for the singular Dirac system with impulsive conditions,"
Turkish Journal of Mathematics: Vol. 42:
5, Article 33.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss5/33