On the location of spectral concentration for Sturm–Liouville problems with rapidly decaying potential

DOI10.1112/S0025579300014017zbMath0909.34023MaRDI QIDQ4209026

Michael S. P. Eastham

Publication date: 3 November 1998

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

spectral functionSturm-Liouville equationPrüfer transformationspectral concentrationTitchmarsh-Weyl functionsresonances in the complex plane

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

The spectral function for Sturm-Liouville problems where the potential is of Wigner-von Neumann type or slowly decaying, The interpolation of the Titchmarsh-Weyl function, Resonances and analytic continuation for exponentially decaying Sturm-Liouville potentials, Absolute continuity and spectral concentration for slowly decaying potentials, Spectral Concentration for Perturbed Equations of Harmonic Oscillator Type, Analytic continuation and resonance-free regions for Sturm-Liouville potentials with power decay

Uses Software

• SLEDGE

Cites Work

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• Ordinary Differential Equations