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Geometric and Potential Theoretic Results on Lie Groups

Published online by Cambridge University Press:  20 November 2018

N. Th. Varopoulos*
Affiliation:
Institut Universitaire de France, Université Paris VI, Département de Mathématiques, 4, place Jussieu, 75005 Paris, France
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Abstract

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The main new results in this paper are contained in the geometric Theorems 1 and 2 of Section 0.1 below and they are related to previous results of M. Gromov and of myself (cf. [11], [29]). These results are used to prove some general potential theoretic estimates on Lie groups (cf. Section 0.3) that are related to my previous work in the area (cf. [28], [34]) and to some deep recent work of G. Alexopoulos (cf. [3], [4]).

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2000

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