Spectra of translations and Wiener-Hopf operators on Lw²(R⁺)

2011/06/23 by Violeta Petkova, Petkova, Violeta
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1106.4769

arxiv created 2012/09/25 · arxiv updated 2012/09/26

Abstract

We study the bounded operators on weighted spaces Lw² on R⁺ commuting either with the right translations St or left translations and we establish the existence of a symbol for these operators. We characterize completely the spectrum of St. We give also a spectral results for the left translations and for the bounded operators commuting with the semi-group (St) or with the semi-group of the left translations.

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