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Point mass perturbations of spectral measures

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.

preprint2020arXivOpen access
Rafael del RioLuis O. SilvaJulio H. Toloza
math-phmath.MPmath.SP
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Rafael del RioLuis O. SilvaJulio H. Toloza

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