Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales

Year 2019, Volume: 7 Issue: 1, 128 - 135, 15.04.2019

Bilender P. Allahverdiev Hüseyin Tuna

Abstract

In this work, we prove the existence of a spectral function for one dimensional singular Dirac operator on time scales. Further, we establish a Parseval equality and expansion formula in eigenfunctions by terms of the spectral function.

Keywords

Time scales, Dirac operator, singular point, parseval equality

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