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.
Submitted September 13, 2004. Published April 28, 2005.
Math Subject Classifications: 34B24, 34B09
Key Words: Sturm-Liouville problem; vibrating string; Krein-Feller eigenvalue problem; Atkinson eigenvalue problem.
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| Hans Volkmer |
Department of Mathematical Sciences
University of Wisconsin-Milwaukee
P. O. Box 413
Milwaukee, WI 53201 USA
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