Spectral expansion for the singular Dirac system with impulsive conditions

Authors: BİLENDER PAŞAOĞLU, HÜSEYİN TUNA

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

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