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arXiv · 2512.22037

Sharp pointwise convergence of Schr\"odinger mean with complex time in higher dimensions

Meng Wang·Zhichao Wang
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Abstract

In this paper, we establish the almost everywhere convergence of solutions to the Schr\"odinger operator with complex time $ P_{\gamma}f(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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Meng Wang, Zhichao Wang. 2025-12-26. Sharp pointwise convergence of Schr\"odinger mean with complex time in higher dimensions. https://arxiv.org/abs/2512.22037

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