Generalizations of Menchov–Rademacher Theorem and Existence of Wave Operators in Schrödinger Evolution

@article{Denisov2019GeneralizationsOM,
  title={Generalizations of Menchov–Rademacher Theorem and Existence of Wave Operators in Schr{\"o}dinger Evolution},
  author={Sergey A. Denisov and Liban Mohamed},
  journal={Canadian Journal of Mathematics},
  year={2019},
  volume={73},
  pages={360 - 382}
}
Abstract We obtain generalizations of the classical Menchov–Rademacher theorem to the case of continuous orthogonal systems. These results are applied to show the existence of Moller wave operators in Schrödinger evolution. 

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