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Sharp pointwise convergence of Schrödinger mean with complex time in higher dimensions

Published 26 Dec 2025 in math.AP | (2512.22037v1)

Abstract: In this paper, we establish the almost everywhere convergence of solutions to the Schrödinger operator with complex time $ P_γf(x,t) $ in higher dimensions, under the assumption that the initial data $f$ belongs to the Sobolev space $ H{s}(\mathbb{R}d)$.

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