On the Titchmarsh–Weyl m -function

DOI10.1017/S0308210500012932zbMath0553.34037OpenAlexW2105375884MaRDI QIDQ3346608

B. J. Harris

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500012932

zbMATH Keywords

Sturm-Liouville equationTitchmarsh-Weyl m-function

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items (6)

Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials ⋮ The asymptotic form of the spectral functions associated with a class of Sturm–Liouville equations ⋮ The asymptotic form of the Titchmarsh-Weyl m-function for second-order linear differential equations with analytic coefficients ⋮ The form of the spectral functions associated with a class of Sturm–Liouville equations with integrable coefficient ⋮ The asymptotic form of the Titchmarsh–Weyl coefficient for a fourth order differential equation ⋮ Asymptotics of the Titchmarsh-Weyl m-coefficient for integrable potentials

Cites Work

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• Bounds for the Point Spectra of Sturm-Liouville Equations
• On the location of the Weyl circles
• On the asymptotic form of the Titchmarsh-Weylm-coefficient†
• On a Property of the M -Coefficient of a Secondorder Linear Differential Equation

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