Wiener-Hopf operators and spectral problems on Lw^2(R^+)

Details Wiener-Hopf operators and spectral problems on Lw^2(R^+) Wiener-Hopf operators and spectral problems on Lw^2(R^+)

2011-06-23

arxiv.org/abs/1106.4769v2

Mathematics

Functional Analysis

Scientific paper

We study the bounded operators on weighted spaces Lw^2 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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