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- W2005103444 abstract "For the Sturm-Liouville eigenvalue problem − f′′ = λrf on [−1, 1] with Dirichlet boundary conditions and with an indefinite weight function r changing its sign at 0 we discuss the question whether the eigenfunctions form a Riesz basis of the Hilbert space L 2 |r|[− 1, 1]. So far a number of sufficient conditions on r for the Riesz basis property are known. However, a sufficient and necessary condition is only known in the special case of an odd weight function r. We shall here give a generalization of this sufficient and necessary condition for certain generally non-odd weight functions satisfying an additional assumption." @default.
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- W2005103444 date "2007-11-14" @default.
- W2005103444 modified "2023-10-14" @default.
- W2005103444 title "The Riesz Basis Property of an Indefinite Sturm-Liouville Problem with a Non-Odd Weight Function" @default.
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- W2005103444 doi "https://doi.org/10.1007/s00020-007-1545-6" @default.
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