The boundary control approach to the Titchmarsh-Weyl \(m\)-function. I: The response operator and the \(A\)-amplitude

DOI10.1007/s00220-007-0315-2zbMath1140.93023OpenAlexW1974155112MaRDI QIDQ930560

Victor Mikhaylov, Alexei Rybkin, Sergeĭ Anatol'evich Avdonin

Publication date: 1 July 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-007-0315-2

zbMATH Keywords

Schrödinger operatorDirichlet boundary conditionevaluation of Titchmarsh-Weyl \(m\)-function

Mathematics Subject Classification ID

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Cites Work

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• A new approach to inverse spectral theory. I: Fundamental formalism
• SOME NEW AND OLD ASYMPTOTIC REPRESENTATIONS OF THE JOST SOLUTION AND THE WEYL m-FUNCTION FOR SCHRÖDINGER OPERATORS ON THE LINE
• An exact method for the calculation of certain Titchmarsh-Weyl m-functions
• BOUNDARY CONTROL AND A MATRIX INVERSE PROBLEM FOR THE EQUATION $ u_{tt}-u_{xx}+V(x)u=0$
• Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
• Asymptotics of the Titchmarsh-Weyl m-coefficient for integrable potentials
• Equivalence of time-domain inverse problems and boundary spectral problems
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