Wave operator bounds for 1-dimensional Schr\"odinger operators with singular potentials and applications
classification
🧮 math.AP
math-phmath.MP
keywords
operatorsapplicationsboundsodingerpotentialsschrsingularwave
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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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