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Sharp convergence rate of Schr\"odinger operator along curves

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arxiv 2507.03883 v1 pith:5S4KYBEP submitted 2025-07-05 math.AP

Sharp convergence rate of Schr\"odinger operator along curves

classification math.AP
keywords alongconvergencecurvesodingeroperatorrateschrsharp
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We analyze convergence rate of Schr\"odinger operator along curves $U_{\gamma}f(x,t)$, where $f \in H^{s}\left(\mathbb{R}^{d}\right)$. All results are sharp up to the endpoints.

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