The local Borg-Marchenko uniqueness theorem for potentials locally smooth at the right endpoint

DOI10.1007/s00020-019-2529-zzbMath1485.34082OpenAlexW2953267683WikidataQ127635185 ScholiaQ127635185MaRDI QIDQ2318106

Guangsheng Wei, Yu Bai

Publication date: 13 August 2019

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-019-2529-z

zbMATH Keywords

Schrödinger operatorWeyl-Titchmarsh \(m\)-functionBorg-Marchenko uniqueness theorem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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The local Borg–Marchenko uniqueness theorem of matrix‐valued Dirac‐type operators for coefficients locally smooth at the right endpoint

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