Spectral properties and a Parseval’s equality in the singular case for q-Dirac problem

AuthorsSeyfollah Mosazadeh
JournalAdvances in Difference Equations
Presented byUniversity of Kashan
Paper TypeFull Paper
Published At2019-12-19
Journal GradeISI
Journal TypeTypographic
Journal CountryUnited Kingdom
Journal IndexISI (Springer)


This paper is devoted to studying a q-analog of the singular Dirac problem. First, we investigate some spectral properties of the problem. Then we prove the existence of a spectral function and establish a Parseval’s equality, for the singular q-Dirac system in a Hilbert space. Although there were given some results for this type of problem, we think that Parseval’s equality has not been studied yet.

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