Relationships between the \(m\)-function and subordinate solutions of second order differential operators

DOI10.1006/jmaa.1997.5216zbMath0878.34070OpenAlexW1972318367MaRDI QIDQ678659

Remling, Christian

Publication date: 5 November 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5216

zbMATH Keywords

Hausdorff dimensionresonancesingular spectrumTitchmarsh-Weyl coefficientapproximate inversionhalf-bound statessubordinacy

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (6)

Zeroes of the spectral density of the Schrödinger operator with the slowly decaying Wigner-von Neumann potential ⋮ Subordinate solutions and spectral measures of canonical systems ⋮ On the application of some of M. G. Krein's results to the spectral analysis of Sturm-Liouville operators ⋮ On the eigenvalues of the Dirac operator ⋮ Embedded singular continuous spectrum for one-dimensional Schrödinger operators ⋮ Subordinacy theory for extended CMV matrices

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