Asymptotics of the spectrum of a differential operator with the weight generated by the Minkowski function.

This paper is devoted to the study of the asymptotics of the spectrum of the boundary-value problem where ρ is the generalized derivative of the Minkowski function, i.e., ρ =?′( x) (here ?( x) is the 'question-mark function' first defined by Minkowski, who introduced this notation). For the eigenvalues of the problem, asymptotic two-sided estimates of power type are obtained. The order of the power is determined by the Hausdorff dimension of the support of the Minkowski measure d?. [ABSTRACT FROM AUTHOR]