Asymptotics of the eigenvalues of the Sturm-Liouville problem with discrete self-similar weight

Author:

Vladimirov A. A.,Sheipak I. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference8 articles.

1. A. A. Vladimirov and I. A. Sheipak, “Self-similar functions in L 2[0, 1] and the Sturm-Liouville problem with a singular indefinite weight,” Mat. Sb. 197(11), 13–30 (2006) [Russian Acad. Sci. Sb.Math. 197 (11), 1569–1586 (2006)].

2. A. A. Vladimirov and I. A. Sheipak, “The indefinite Sturm-Liouville problem for some classes of self-similar singular weights,” in Trudy Mat. Inst. Steklov, Vol. 255: Function Spaces, Approximation Theory, Nonlinear Analysis, Collection of papers (Nauka, Moscow, 2006), pp. 88–98 [Proc. Steklov Inst. Math., No. 4 (255), 82–91 (2006)].

3. M. G. Krein, “Determination of the density of a nonhomogeneous symmetric cord by its frequency spectrum,” Dokl. Akad. Nauk SSSR 76(3), 345–348 (1951).

4. M. Solomyak and E. Verbitsky, “On a spectral problem related to self-similar measures,” Bull. London Math. Soc. 27(3), 242–248 (1995).

5. I. A. Sheipak, “Singular points of a self-similar function of spectral order zero: self-similar Stieltjes string,” Mat. Zametki 88(2), 303–316 (2010) [Math. Notes 88 (1–2), 275–286 (2010)].

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