- Konuralp Journal of Mathematics
- Vol: 7 Issue: 1
- Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales
Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales
Authors : Bilender P. Allahverdiev, Hüseyin Tuna
Pages : 128-135
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Publication Date : 2019-04-15
Article Type : Research
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