| Title: | Direct and inverse spectral continuity for Dirac operators |
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| Authors: | ID Bessonov, Roman V. (Author)
ID Gubkin, Pavel (Author) |
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| Files: |  PDF - Presentation file, download (2,01 MB)
MD5: E851FBBDCD2EC5E6B743BE4766A9AEF1
 URL - Source URL, visit https://link.springer.com/article/10.1007/s00039-026-00735-3
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | 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 $\delta$-interactions on a half-lattice in terms of the Schur’s algorithm for analytic functions. |
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| Keywords: | Dirac operators, Kronig-Penney model, Periodic spectral data, Schur algorithm, NLFT |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.04.2026 |
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| Year of publishing: | 2026 |
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| Number of pages: | str. 351-411 |
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| Numbering: | Vol. 36, iss. 2 |
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| PID: | 20.500.12556/DiRROS-29381  |
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| UDC: | 517.9 |
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| ISSN on article: | 1016-443X |
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| DOI: | 10.1007/s00039-026-00735-3 |
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| COBISS.SI-ID: | 278106627 |
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| Publication date in DiRROS: | 14.05.2026 |
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| Views: | 33 |
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| Downloads: | 18 |
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| Metadata: |    |
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