Wave operator bounds for one-dimensional Schrödinger operators with singular potentials and applications
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Publication:5256189
DOI10.1063/1.3525977zbMATH Open1314.81085arXiv1005.4943OpenAlexW3100937330MaRDI QIDQ5256189
Author name not available (Why is that?)
Publication date: 22 June 2015
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1005.4943
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Singular Bohr-Sommerfeld conditions for 1D Toeplitz operators: hyperbolic case ⋮ Estimates of the Jost solution to a one-dimensional Schrödinger equation with a singular potential ⋮ \(L^p\)-boundedness of the wave operator for the one dimensional Schrödinger operator ⋮ One-dimensional Schrodinger operator with a negative parameter and its applications to the study of the approximation numbers of a singular hyperbolic operator
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