Geodesic
Eigenvalue problems of Atkinson, Feller and Krein, and their mutual relationship
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 34B24, 34B09
Keywords: Sturm-Liouville problem, vibrating string, Krein-Feller eigenvalue problem, atkinson eigenvalue problem 
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     author = {Volkmer, Hans},
     title = {Eigenvalue problems of {Atkinson,} {Feller} and {Krein,} and their mutual relationship},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a93/}
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Volkmer, Hans. Eigenvalue problems of Atkinson, Feller and Krein, and their mutual relationship. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a93/