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Eigenvalue Approximation for Krein-Feller-Operators. (arXiv:1903.00215v1 [math.SP])
来源于:arXiv
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. 查看全文>>