The asymptotic form of the Titchmarsh–Weyl m-function associated with a second order differential equation with locally integrable coefficient

DOI10.1017/S0308210500026329zbMath0615.34028WikidataQ115335854 ScholiaQ115335854MaRDI QIDQ4724097

B. J. Harris

Publication date: 1986

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

zbMATH Keywords

asymptotic expansionlimit pointsecond order linear differential equationlimit circleWeyl theoryTitchmarsh- Weyl m-function

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items

Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials, Density of Schrödinger Weyl-Titchmarsh \(m\) functions on Herglotz functions, Asymptotics of the Titchmarsh—Weyl m-coefficient for non-integrable potentials, SL(3, C) structure of one-dimensional Schrödinger equation, The form of the spectral functions associated with a class of Sturm–Liouville equations with integrable coefficient, An exact method for the calculation of certain Titchmarsh-Weyl m-functions, The Marchenko representation of reflectionless Jacobi and Schrödinger operators, The asymptotic form of the Titchmarsh–Weyl m-function associated with a second order differential equation with locally integrable coefficient, Asymptotics of the Titchmarsh-Weyl m-coefficient for integrable potentials, Formulation of a unified method for low- and high-energy expansions in the analysis of reflection coefficients for one-dimensional Schrödinger equation, Schrödinger operators and de Branges spaces.

Cites Work

• Unnamed Item
• The asymptotic form of the spectral functions associated with a class of Sturm–Liouville equations
• On the location of the Weyl circles
• A return to the Hardy-Littlewood integral inequality
• 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