[Authors]
 Rastegaev, N. V.

[Title]
 On the spectrum of the Sturm-Liouville problem with arithmetically 
 self-similar weight

[AMS Subj-class]
 34B09 Boundary eigenvalue problems
 34B24 Sturm-Liouville theory
        
[Keywords]
 spectral asymptotics, self-similar measures

[Abstract]
 Spectral asymptotics of the Sturm-Liouville problem with an arithmetically 
 self-similar singular weight is considered. Previous results by
 A. A. Vladimirov and I. A. Sheipak, and also by the author, rely on 
 the spectral periodicity property, which imposes significant
 restrictions on the self-similarity parameters. This work introduces
 a new method to estimate the eigenvalue counting function. This allows to
 condsider a much wider class of self-similar measures.

[Comments]
 LaTeX, Russian, 14 pp.

[Contact e-mail]
 rastmusician@gmail.com