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We study the asymptotics of the spectrum of the boundary-value problem     $$ - y'' - \lambda \rho y = 0,y(0) = y(1) = 0$$     for the case in which the weight ρ ∈ W̊2−1 [0, 1] is the generalized (in the sense of distributions) derivative of a self-similar function P ∈ L 2[0, 1] of zero spectral order.

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