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Tauberian convolution operators acting on L1(G)

Abstract: We study the convolution operators which are tauberian as operators acting on the group algebras , where G is a locally compact abelian group and ? is a complex Borel measure on G. We show that these operators are invertible when G is non-compact, and that they are Fredholm when they have closed range and G is compact. In the remaining case, when G is compact and is not assumed to be closed, we prove that is Fredholm when the singular continuous part of ? with respect to the Haar measure on G is zero.

 Fuente: Journal of Mathematical Analysis and Applications (2017) Vol. 446, Issue 1, pp. 299-306

 Editorial: Academic Press Inc.

 Año de publicación: 2017

 Nº de páginas: 8

 Tipo de publicación: Artículo de Revista

 DOI: 10.1016/j.jmaa.2016.08.057

 ISSN: 0022-247X,1096-0813

 Proyecto español: MTM2013-45643

 Url de la publicación: https://doi.org/10.1016/j.jmaa.2016.08.057

Autoría

CELY, LILIANA

GALEGO, ELÓI M.