Abstract
AbstractThis 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.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference30 articles.
1. Aldwoah, K.A., Malinowska, A.B., Torres, D.F.M.: The power quantum calculus and variational problems. Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 19, 93–116 (2012)
2. Allahverdiev, B.P., Tuna, H.: One dimensional q-Dirac equation. Math. Methods Appl. Sci. 1, 7287–7306 (2017)
3. Allahverdiev, B.P., Tuna, H.: Dissipative q-Dirac operator with general boundary conditions. Quaest. Math. 41, 239–255 (2018)
4. Andrews, G.E., Askey, R., Roy, R.: Special Functions. Cambridge University Press, Cambridge (1999)
5. Annaby, M.H.: q-Type sampling theorems. Results Math. 44, 214–225 (2003)
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献