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Sharp pointwise convergence on the Schr\"odinger operator along one class of curves

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arxiv 2303.11002 v1 pith:46T4ZW53 submitted 2023-03-20 math.CA math.AP

classification math.CAmath.AP
keywords convergenceodingerschralongclasscurvesoperatorpointwise
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Almost everywhere convergence on the solution of Schr\"odinger equation is an important problem raised by Carleson, which was essentially solved by Du-Guth-Li and Du-Zhang. In this note, we obtain the sharp pointwise convergence on the Schr\"odinger operator along one class of curves.

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