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.
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