Stieltjes like functions and inverse problems for systems with Schrödinger operator

DOI10.7153/OAM-02-17zbMath1163.47009OpenAlexW2951671504MaRDI QIDQ3514285

Eduard Tsekanovskii, Sergey Belyi

Publication date: 21 July 2008

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-02-17

zbMATH Keywords

inverse problemsSchrödinger operatorStieltjes functionoperator colligationrigged canonical systemStieltjes-like functiontransfer (characteristic) function

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Inverse problems involving ordinary differential equations (34A55) Linear accretive operators, dissipative operators, etc. (47B44) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (4)

On realization of the original Weyl-Titchmarsh functions by Shrödinger L-systems ⋮ Sectorial Stieltjes functions and their realizations by L‐systems with a Schrödinger operator ⋮ On sectorial L-systems with Shrödinger operator ⋮ Accretive (*)-extensions and Realization Problems

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