Bounds for the points of spectral concentration of Sturm–Liouville problems

DOI10.1112/S002557930001593XzbMath1022.34077MaRDI QIDQ4786413

B. J. Harris, D. J. Gilbert

Publication date: 15 December 2002

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

spectral functionSturm-Liouville problems\(m\)-functionspectral concentration

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05)

Related Items (2)

The spectral function for Sturm-Liouville problems where the potential is of Wigner-von Neumann type or slowly decaying ⋮ Asymptotic behavior of the spectral measure density of a singular Sturm-Liouville operator as \(\lambda \rightarrow -\infty\)

Cites Work

• Absolute continuity and spectral concentration for slowly decaying potentials
• Spectral concentration and rapidly decaying potentials
• The asymptotic nature of spectral functions in Sturm-Liouville problems with continuous spectrum
• Titchmarsh–Weyl theory and its relations to scattering theory: Spectral densities and cross sections; Theory and applications
• Connection formulae for spectral functions associated with singular Sturm–Liouville equations
• On the recovery of a differential equation from its spectral functions

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