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Multiplicateurs sur les espaces de Banach de fonctions sur un groupe localement compact abélien

Abstract : We study the multipliers, i.e. the bounded operators commuting with the translations on a space of functions on a locally compact abelian group G. For every multiplier, we obtain an essentially bounded symbol on a set of continuous morphisms on G related to the joint spectrum of the translations. We also obtain analogous results for the Wiener-Hopf operators (resp. Toeplitz operators) on spaces of functions on R+ (resp. Z+).
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https://tel.archives-ouvertes.fr/tel-00011714
Contributor : Violeta Petkova <>
Submitted on : Thursday, March 2, 2006 - 3:40:06 PM
Last modification on : Thursday, January 11, 2018 - 6:12:18 AM
Long-term archiving on: : Saturday, April 3, 2010 - 10:40:32 PM

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  • HAL Id : tel-00011714, version 1

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Violeta Petkova. Multiplicateurs sur les espaces de Banach de fonctions sur un groupe localement compact abélien. Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2005. Français. ⟨tel-00011714⟩

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