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Wave operator bounds for 1-dimensional Schr\"odinger operators with singular potentials and applications

Vincent Duch\^ene, Jeremy L. Marzuola, Michael I. Weinstein
Arxiv ID: 1005.4943Last updated: 10/1/2021
Boundedness of wave operators for Schr\"odinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. Applications are presented to, for example, dispersive estimates and commutator bounds.

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