Generalizations of Menchov-Rademacher theorem and existence of wave operators in Schrodinger evolution

2019/05/01 by Sergey Denisov, Denisov, Sergey, Liban Mohamed +1 · 1 citation
Mathematics · Physics and Astronomy · #34L25 #35P25 #94A11 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.CA #math.MP #msc:34L25 #msc:35P25 #msc:94A11

paper · pdf · doi:10.48550/arxiv.1905.00483

arxiv created 2019/05/01 · arxiv updated 2019/05/03

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 Schrodinger evolution.

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