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Abstract: We study the convolution operators T?acting on the group algebras L1(G)and M(G), where Gis a locally compact abelian group and ?is a complex Borel measure on G. We show that a cotauberian convolution operator T?acting on L1(G)is Fredholm of index zero, and that T?is tauberian if and only if so is the corresponding convolution operator acting on the algebra of measures M(G), and we give some applications of these results.
Fuente: Journal of Mathematical Analysis and Applications, 2018, 465(1),309-317
Publisher: Academic Press Inc.
Year of publication: 2018
No. of pages: 9
Publication type: Article
DOI: 10.1016/j.jmaa.2018.05.007
ISSN: 0022-247X,1096-0813
Spanish project: MTM2016-76958
Publication Url: https://doi.org/10.1016/j.jmaa.2018.05.007
Consult in UCrea Read publication
CELY, LILIANA
GALEGO, ELÓI M.
MANUEL GONZALEZ ORTIZ
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