Counterexamples in indefinite Sturm--Liouville problems
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Publication:1972644
zbMath0942.34022MaRDI QIDQ1972644
N. L. Abasheeva, Sergei G. Pyatkov
Publication date: 13 April 2000
Published in: Siberian Advances in Mathematics (Search for Journal in Brave)
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)
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The similarity problem for \(J\)-nonnegative Sturm-Liouville operators ⋮ The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems ⋮ Positive and negative eigenfunction expansion results for indefinite Sturm-Liouville problems ⋮ 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 ⋮ Characterizations of monotone \(\mathcal O\)-regularly varying functions by means of indefinite eigenvalue problems and HELP type inequalities ⋮ A failing eigenfunction expansion associated with an indefinite Sturm-Liouville problem
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