Generalizations of Menchov–Rademacher Theorem and Existence of Wave Operators in Schrödinger Evolution
Canadian journal of mathematics, Tome 73 (2021) no. 2, pp. 360-382

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DOI

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.
DOI : 10.4153/S0008414X19000646
Mots-clés : scattering, Schrödinger equation, Menchov–Rademacher
Denisov, Sergey; Mohamed, Liban. Generalizations of Menchov–Rademacher Theorem and Existence of Wave Operators in Schrödinger Evolution. Canadian journal of mathematics, Tome 73 (2021) no. 2, pp. 360-382. doi: 10.4153/S0008414X19000646
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     author = {Denisov, Sergey and Mohamed, Liban},
     title = {Generalizations of {Menchov{\textendash}Rademacher} {Theorem} and {Existence} of {Wave} {Operators} in {Schr\"odinger} {Evolution}},
     journal = {Canadian journal of mathematics},
     pages = {360--382},
     year = {2021},
     volume = {73},
     number = {2},
     doi = {10.4153/S0008414X19000646},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000646/}
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