Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type

Tuna, Hüseyin; Allahverdiev, Bilender P.

doi:10.2478/cm-2020-0002

Bilender P. Allahverdiev ; Hüseyin Tuna - Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type

cm:9497 - Communications in Mathematics, July 9, 2020, Volume 28 (2020), Issue 1 - https://doi.org/10.2478/cm-2020-0002

Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type

Authors: Bilender P. Allahverdiev ; Hüseyin Tuna

In this work, we consider the singular Hahn difference equation of the Sturm-Liouville type. We prove the existence of the spectral function for this equation. We establish Parseval equality and an expansion formula for this equation on a semi-unbounded interval.

https://doi.org/10.2478/cm-2020-0002

Source : oai:HAL:hal-03664978v1

Volume: Volume 28 (2020), Issue 1

Published on: July 9, 2020

Imported on: May 11, 2022

Keywords: General Mathematics,[MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)