The spectral theory of second order two-point differential operators: I. A priori estimates for the eigenvalues and completeness

DOI10.1017/S030821050002792XzbMath0766.34059MaRDI QIDQ4030482

John Locker

Publication date: 1 April 1993

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

zbMATH Keywords

eigenvaluedifferential operatorgeneralized eigenfunctions

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

The spectral theory of second order two-point differential operators. IV: The associated projections and the subspace \(S_ \infty(L)\) ⋮ On summability of spectral expansions corresponding to the Sturm-Liouville operator ⋮ Eigenfunction expansions for the nonspectral differential operators determined by \(-D^ 2\) ⋮ On a new method for solving irregular problems ⋮ The spectral theory of second order two-point differential operators. III: The eigenvalues and their asymptotic formulas

Cites Work

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• The nonspectral Birkhoff-regular differential operators determined by \(- D^ 2\)
• Spectral theory for a differential operator: Characteristic determinant and Green's function
• Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties
• Spectral representation of the resolvent of a discrete operator
• Spectral decomposition of a Hilbert space by a Fredholm operator
• Spectral theory of two-point differential operators determined by \(-D^ 2\). II: Analysis of cases
• Denseness of the generalized eigenvectors of an H-S discrete operator
• Perturbations of spectral operators, and applications. I. Bounded perturbations

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