ON THE ASYMPTOTIC BEHAVIOR OF THE WEYL-TITCHMARSH $ m$-FUNCTION

DOI10.1070/IM1991v036n03ABEH002031zbMath0723.34038OpenAlexW1999882765MaRDI QIDQ3211643

Arthur A. Danielyan, Boris Moiseevich Levitan

Publication date: 1991

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1991v036n03abeh002031

zbMATH Keywords

asymptotic expansionSturm-Liouville problemWeyl-Titchmarsh function

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (12)

Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials ⋮ Uniqueness results for inverse Sturm-Liouville problems with partial information given on the potential and spectral data ⋮ Stability in the inverse Steklov problem on warped product Riemannian manifolds ⋮ Uniform Estimate of Potentials by Reflection Coefficients and its Application to KdV Flow ⋮ Asymptotic behavior for differences of eigenvalues of two Sturm-Liouville problems with smooth potentials ⋮ Uniqueness of the interior transmission problem with partial information on the potential and eigenvalues ⋮ Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators ⋮ On the uniqueness of inverse spectral problems associated with incomplete spectral data ⋮ Inverse spectral problems for non-self-adjoint Sturm-Liouville operators with discontinuous boundary conditions ⋮ The local Borg-Marchenko uniqueness theorem for potentials locally smooth at the right endpoint ⋮ Inverse Sturm–Liouville problems with the potential known on an interior subinterval ⋮ Formulation of a unified method for low- and high-energy expansions in the analysis of reflection coefficients for one-dimensional Schrödinger equation

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