| Communications in Mathematics |
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-2020-0002Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville TypeArticle
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.
Source: HAL:hal-03664978v1
Volume: Volume 28 (2020), Issue 1
Published on: July 9, 2020
Imported on: May 11, 2022
Keywords: [MATH]Mathematics [math]
Classifications
Mathematics Subject Classification 20201
- 34B40 - Boundary value problems on infinite intervals for ordinary differential equations
- 34L10 - Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
- 39A12 - Discrete version of topics in analysis
- 39A13 - Difference equations, scaling (\(q\)-differences)
- 39A70 - Difference operators
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