Atomization process for convolution operators on locally compact groups
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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.References
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Additional Information
- Cédric Delmonico
- Affiliation: School of Basic Sciences, École Polytechnique Fédérale de Lausanne, Station 8, CH-1005 Lausanne, Switzerland
- Email: cedric.delmonico@a3.epfl.ch
- 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
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 3231-3241
- MSC (2000): Primary 43A05; Secondary 43A22, 47B38, 47B48
- DOI: https://doi.org/10.1090/S0002-9939-06-08345-6
- MathSciNet review: 2231906