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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

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