Abstract
In this paper, we study the spectrum of Hahn-Sturm-Liouville operators. In this context, it is shown that the regular symmetric Hahn-Sturm-Liouville operator is semi-bounded from below. Moreover, we give some conditions for the self-adjoint singular Hahn-Sturm-Liouville operator to have a discrete spectrum. The method of proof is based on the splittings technique. Finally, we investigate the continuous spectrum of this operator.
Version Information
The current pdf replaces the original pdf file, first available on 5 October 2022. The new version corrects the DOI prefix to read 10.32513.
Citation
Bilender P. Allahverdiev. Hüseyin Tuna. "On the spectrum of singular Hahn-Sturm-Liouville operators." Adv. Studies: Euro-Tbilisi Math. J. 15 (3) 75 - 90, September 2022. https://doi.org/10.32513/asetmj/19322008225
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