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Main Authors: Wang, Meng, Wang, Zhichao
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.22037
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author Wang, Meng
Wang, Zhichao
author_facet Wang, Meng
Wang, Zhichao
contents 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)$.
format Preprint
id arxiv_https___arxiv_org_abs_2512_22037
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sharp pointwise convergence of Schrödinger mean with complex time in higher dimensions
Wang, Meng
Wang, Zhichao
Analysis of PDEs
42B25
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)$.
title Sharp pointwise convergence of Schrödinger mean with complex time in higher dimensions
topic Analysis of PDEs
42B25
url https://arxiv.org/abs/2512.22037