Eigenvalue problems of Atkinson, Feller and Krein, and their mutual relationship
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It is shown that every regular Krein-Feller eigenvalue problem can be transformed to a semidefinite Sturm-Liouville problem introduced by Atkinson. This makes it possible to transfer results between the corresponding theories. In particular, Prüfer angle methods become available for Krein-Feller problems.
CitationVolkmer, H. (2005). Eigenvalue problems of Atkinson, Feller and Krein, and their mutual relationship. Electronic Journal of Differential Equations, 2005(48), pp. 1-15.
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