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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Atomization process for convolution operators on locally compact groups
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by Cédric Delmonico PDF
Proc. Amer. Math. Soc. 134 (2006), 3231-3241 Request permission

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
  • 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