20.500.12556/RUL-182504 Direct and inverse spectral continuity for Dirac operators 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. Dirac operators Kronig-Penney model Periodic spectral data Schur algorithm NLFT true false true Angleški jezik Angleški jezik Članek v reviji 2026-05-14 09:46:15 2026-05-14 09:46:18 2026-05-15 04:46:13 0000-00-00 00:00:00 2026 0 0 Str. 351-411 iss. 2 Vol. 36 Apr. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2026-04-01 517.9 1016-443X 10.1007/s00039-026-00735-3 278106627 s00039-026-00735-3.pdf s00039-026-00735-3.pdf 1 82FF0E8889EEFCE73AC39E6FD2771B94 155a87d25d43265df10782dc653edfe1dde381cb852da997122f18fb98d94111 f43c64e9-4f68-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233830 https://link.springer.com/article/10.1007/s00039-026-00735-3 1 b1c49858-4f68-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233828 Fakulteta za matematiko in fiziko 0 0 0