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arxiv: 1807.06150 · v4 · pith:HVMFBHLX · submitted 2018-07-16 · math-ph · math.MP· math.SP

Point mass perturbations of spectral measures

Rafael del Rio , Luis O. Silva , Julio H. Toloza This is my paper

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classification math-ph math.MPmath.SP
keywords measuresspectralmassperturbationspointoperatorsanalysisapply
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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 Schr\"odinger operators.

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