  We study the limiting behavior of the eigenvalues of Krein-Feller-Operators
with respect to weakly convergent probability measures. Therefore, we give a
representation of the eigenvalues as zeros of measure theoretic sine functions.
Further, we make a proposition about the limiting behavior of the previously
determined eigenfunctions. With the main results we finally determine the speed
of convergence of eigenvalues and -functions for sequences which converge to
invariant measures on the Cantor set.
