Eigenvalue Approximation for Krein-Feller-Operators
Spectral Theory
2021-04-21 v1 Classical Analysis and ODEs
Abstract
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.
Cite
@article{arxiv.1903.00215,
title = {Eigenvalue Approximation for Krein-Feller-Operators},
author = {Uta Freiberg and Lenon Minorics},
journal= {arXiv preprint arXiv:1903.00215},
year = {2021}
}