Conditions for sectoriality and compactness of the resolvent for a non-self-adjoint Sturm--Liouville operator with singular distributional potential
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913747916816384 |
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| author | Tumanov, Sergey N. |
| author_facet | Tumanov, Sergey N. |
| contents | The aim of this paper is to find necessary and sufficient conditions for sectoriality and compactness of the resolvent for Sturm--Liouville operators with complex-valued potentials of the class $q\in W_{2,loc}^{-1}(\mathbb{R}_+)$ in terms of its generalized antiderivatives $s\in L_{2,loc}(\mathbb{R}_+)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_16172 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conditions for sectoriality and compactness of the resolvent for a non-self-adjoint Sturm--Liouville operator with singular distributional potential Tumanov, Sergey N. Spectral Theory Mathematical Physics 34L05, 34L40, 34B05 The aim of this paper is to find necessary and sufficient conditions for sectoriality and compactness of the resolvent for Sturm--Liouville operators with complex-valued potentials of the class $q\in W_{2,loc}^{-1}(\mathbb{R}_+)$ in terms of its generalized antiderivatives $s\in L_{2,loc}(\mathbb{R}_+)$. |
| title | Conditions for sectoriality and compactness of the resolvent for a non-self-adjoint Sturm--Liouville operator with singular distributional potential |
| topic | Spectral Theory Mathematical Physics 34L05, 34L40, 34B05 |
| url | https://arxiv.org/abs/2503.16172 |