Szegö limit theorem and Heisenberg Laplacian

2026/07/24 by Jiyu Fan, Ari Laptev
#math.SP #math.AP #math.FA

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Abstract

The aim of this paper is to obtain a version of the classical Szegö limit theorem, where instead of the operator of second derivative on a circle we consider the Heisenberg-Hörmander Laplacian in L²(\Bbb R³). Besides, we derive a sharp inequality for convex functions that we call Szegö-type inequality.

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