Centered densities on Lie groups of polynomial volume growth
type: Item
instance of: scholarly article
title: Centered densities on Lie groups of polynomial volume growth
zbMATH Open document ID: 1016.22005
author: Georges Alexopoulos
publication date: 2002-12-01T00:00:00Z
review text: The article studies the asymptotic behavior of the convolution powers of a centered density \(\varphi\) on a connected Lie group G of polynomial volume growth. The main tool is a Harnack inequality. It is shown that the positive \(\varphi\)-harmonic functions are constant. There is also given a characterization of the \(\varphi\)-harmonic functions which grow polynomially, and Gaussian estimates for convolution powers.
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 43A80
zbMATH DE Number: 1837433
zbMATH Keywords: Lie group
zbMATH Keywords: density
zbMATH Keywords: Harnack inequality
zbMATH Keywords: central limit theorem
reviewed by: Yasuhiro Asoo
MaRDI profile type: Publication
full work available at URL: s004400200212
OpenAlex ID: W2062012500
Wikidata QID: Q115388005
DOI: 10.1007/S004400200212
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
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description: scientific article; zbMATH DE number 1837433