paper

Point mass perturbations of spectral measures

arXiv:1807.06150

Abstract

Using a generalization of the moment problem and the extremal properties of spectral measures corresponding to the selfadjoint extensions of a regular symmetric operator, we study point mass perturbations of spectral measures. We obtain general results for a wide class of operators and apply them to the analysis of point mass perturbations of spectral measures pertaining to Bessel and generalized Schrödinger operators.

33 pages, no figures. The title of the paper has change. There are changes in the introduction and the examples