Value distribution and spectral theory of Schrödinger operators with \(L ^{2}\)-sparse potentials

DOI10.1016/S0377-0427(02)00587-3zbMath1058.47042arXivmath/0208053MaRDI QIDQ1860448

D. B. Pearson, James D. E. Grant, S. V. Breimesser

Publication date: 23 February 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208053

zbMATH Keywords

Schrödinger operatorsparse potential

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05)

Cites Work

• Unnamed Item
• Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
• On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
• A probabilistic approach to one-dimensional Schrödinger operators with sparse potentials
• Geometrical aspects of spectral theory and value distribution for Herglotz functions
• Spectral Theory for Slowly Oscillating Potentials II. Schrödinger Operators
• Operators with singular continuous spectrum, V. Sparse potentials
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Asymptotic value distribution for solutions of the Schrödinger equation

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