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Atomization process for convolution operators on locally compact groups

Author: Cédric Delmonico
Journal: Proc. Amer. Math. Soc. 134 (2006), 3231-3241
MSC (2000): Primary 43A05; Secondary 43A22, 47B38, 47B48
Published electronically: May 12, 2006
MathSciNet review: 2231906
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Abstract: We develop for a large class of locally compact groups a method of approximation of convolution operators on $ G$ by finitely supported measures with control of the support and of the operator norm of the approximating measures.

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Additional Information

Cédric Delmonico
Affiliation: School of Basic Sciences, École Polytechnique Fédérale de Lausanne, Station 8, CH-1005 Lausanne, Switzerland

Keywords: Convolution operators, discrete measures, approximations, dense nets
Received by editor(s): February 3, 2005
Received by editor(s) in revised form: May 17, 2005
Published electronically: May 12, 2006
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.