Generalized indefinite strings with purely discrete spectrum
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866917844182106112 |
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| author | Eckhardt, Jonathan Kostenko, Aleksey |
| author_facet | Eckhardt, Jonathan Kostenko, Aleksey |
| contents | We establish criteria for the spectrum of a generalized indefinite string to be purely discrete and to satisfy Schatten-von Neumann properties. The results can be applied to the isospectral problem associated with the conservative Camassa-Holm flow and to Schrödinger operators with $δ'$-interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_13138 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Generalized indefinite strings with purely discrete spectrum Eckhardt, Jonathan Kostenko, Aleksey Spectral Theory Primary 34L20, 34L40, Secondary 45P05, 47A10 We establish criteria for the spectrum of a generalized indefinite string to be purely discrete and to satisfy Schatten-von Neumann properties. The results can be applied to the isospectral problem associated with the conservative Camassa-Holm flow and to Schrödinger operators with $δ'$-interactions. |
| title | Generalized indefinite strings with purely discrete spectrum |
| topic | Spectral Theory Primary 34L20, 34L40, Secondary 45P05, 47A10 |
| url | https://arxiv.org/abs/2106.13138 |