Direct and inverse spectral continuity for Dirac operators
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915268959141888 |
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| author | Bessonov, Roman Gubkin, Pavel |
| author_facet | Bessonov, Roman Gubkin, Pavel |
| contents | The half-line Dirac operators with $L^2$-potentials can be characterized by their spectral data. It is known that the spectral correspondence is a homeomorphism: close potentials give rise to close spectral data and vice versa. We prove the first explicit two-sided uniform estimate related to this continuity in the general $L^2$-case. The proof is based on an exact solution of the inverse spectral problem for Dirac operators with $δ$-interactions on a half-lattice in terms of the Schur's algorithm for analytic functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00485 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Direct and inverse spectral continuity for Dirac operators Bessonov, Roman Gubkin, Pavel Spectral Theory 34L40 The half-line Dirac operators with $L^2$-potentials can be characterized by their spectral data. It is known that the spectral correspondence is a homeomorphism: close potentials give rise to close spectral data and vice versa. We prove the first explicit two-sided uniform estimate related to this continuity in the general $L^2$-case. The proof is based on an exact solution of the inverse spectral problem for Dirac operators with $δ$-interactions on a half-lattice in terms of the Schur's algorithm for analytic functions. |
| title | Direct and inverse spectral continuity for Dirac operators |
| topic | Spectral Theory 34L40 |
| url | https://arxiv.org/abs/2505.00485 |