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We study the limiting behavior of the eigenvalues of Krein-Feller-Operatorswith respect to weakly convergent probability measures. Therefore, we give arepresentation of the eigenvalues as zeros of measure theoretic sine functions.Further, we make a proposition about the limiting behavior of the previouslydetermined eigenfunctions. With the main results we finally determine the speedof convergence of eigenvalues and -functions for sequences which converge toinvariant measures on the Cantor set.

Eigenvalue Approximation for Krein-Feller-Operators