On Sesquilinear Forms for Lower Semibounded (Singular) Sturm-Liouville Operators
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912577858043904 |
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| author | Behrndt, Jussi Gesztesy, Fritz Hassi, Seppo Nichols, Roger de Snoo, Henk |
| author_facet | Behrndt, Jussi Gesztesy, Fritz Hassi, Seppo Nichols, Roger de Snoo, Henk |
| contents | Any self-adjoint extension of a (singular) Sturm-Liouville operator bounded from below uniquely leads to an associated sesquilinear form. This form is characterized in terms of principal and nonprincipal solutions of the Sturm-Liouville operator by using generalized boundary values. We provide these forms in detail in all possible cases (explicitly, when both endpoints are limit circle, when one endpoint is limit circle, and when both endpoints are limit point). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07205 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Sesquilinear Forms for Lower Semibounded (Singular) Sturm-Liouville Operators Behrndt, Jussi Gesztesy, Fritz Hassi, Seppo Nichols, Roger de Snoo, Henk Classical Analysis and ODEs Spectral Theory 34B24, 34L40, 47A07, 47E05 Any self-adjoint extension of a (singular) Sturm-Liouville operator bounded from below uniquely leads to an associated sesquilinear form. This form is characterized in terms of principal and nonprincipal solutions of the Sturm-Liouville operator by using generalized boundary values. We provide these forms in detail in all possible cases (explicitly, when both endpoints are limit circle, when one endpoint is limit circle, and when both endpoints are limit point). |
| title | On Sesquilinear Forms for Lower Semibounded (Singular) Sturm-Liouville Operators |
| topic | Classical Analysis and ODEs Spectral Theory 34B24, 34L40, 47A07, 47E05 |
| url | https://arxiv.org/abs/2509.07205 |