Sharp pointwise convergence of Schrödinger mean with complex time in higher dimensions (2512.22037v1)

Published 26 Dec 2025 in math.AP

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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