Asymptotics of the Titchmarsh-Weyl m-coefficient for integrable potentials

DOI10.1017/S0308210500018990zbMath0618.34019OpenAlexW4242773444MaRDI QIDQ4727452

Man Kam Kwong, Hans G. Kaper

Publication date: 1986

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/s0308210500018990

zbMATH Keywords

singular eigenvalue problemTitchmarsh-Weyl m-coefficientasymptotic power series expansion

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20)

Related Items

Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials ⋮ Asymptotics of the Titchmarsh—Weyl m-coefficient for non-integrable potentials ⋮ The boundary control approach to the Titchmarsh-Weyl \(m\)-function. I: The response operator and the \(A\)-amplitude ⋮ Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators ⋮ M(λ)-computation for singular differential systems ⋮ A series representation for the Titchmarsh-Weyl \(m\)-function ⋮ A numerical investigation of HELP inequalities

Cites Work

• Unnamed Item
• On the Titchmarsh–Weyl m -function
• On the location of the Weyl circles
• On the asymptotic form of the Titchmarsh-Weylm-coefficient†
• The asymptotic form of the Titchmarsh–Weyl m-function associated with a second order differential equation with locally integrable coefficient
• THE ASYMPTOTIC FORM OF THE TITCHMARSH-WEYL m -FUNCTION
• On a Property of the M -Coefficient of a Secondorder Linear Differential Equation