Roman Bessonov: Direct and inverse spectral continuity for Dirac operators

V torek, 4. marca ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predavanje

Roman Bessonov: Direct and inverse spectral continuity for Dirac operators.

Abstract: Dirac operators with potentials of class L^2 on the positive half-axis R_+ 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, without any additional assumption on potentials. The proof is based on a solution of the inverse spectral problem for Dirac operators with point mass interactions on the half-lattice Z_+ via the classical Schur's algorithm for bounded analytic functions in the open unit disk. Joint work with P. Gubkin (St. Petersburg).

Predavanje bo potekalo hibridno, v predavalnici 3.05 na Jadranski 21 in preko aplikacije Zoom:

https://uni-lj-si.zoom.us/j/99382527395

Meeting ID: 993 8252 7395

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Vodji seminarja

Franc Forstneric in Barbara Drinovec Drnovsek