Sturm–Liouville problems with indefinite weights and Everitt's inequality

DOI10.1017/S0308210500023283zbMath0865.34017MaRDI QIDQ4715348

Hans W. Volkmer

Publication date: 14 July 1997

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

zbMATH Keywords

Riesz basisSturm-Liouville problemsintegral inequalitiescompleteness of eigenfunctionsHardy-Littlewood-Pólya type integral inequality

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items

The similarity problem for \(J\)-nonnegative Sturm-Liouville operators, The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems, On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems, On the similarity of a \(J\)-nonnegative Sturm-Liouville operator to a self-adjoint operator, Indefinite Sturm-Liouville operators in polar form, The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality, The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions, REPRESENTATION THEOREMS FOR INDEFINITE QUADRATIC FORMS REVISITED, A Counterexample to Completeness Properties for Indefinite St urm—Liouville Problems, Characterizations of monotone \(\mathcal O\)-regularly varying functions by means of indefinite eigenvalue problems and HELP type inequalities, Non-real eigenvalues of singular indefinite Sturm-Liouville operators, A failing eigenfunction expansion associated with an indefinite Sturm-Liouville problem, Non-semibounded sesquilinear forms and left-indefinite Sturm-Liouville problems, Indefinite boundary eigenvalue problems in a Pontrjagin space setting, Counting and computing eigenvalues of left-definite Sturm--Liouville problems

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