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arxiv: 1605.01859 · v3 · pith:XAO5DVB2new · submitted 2016-05-06 · 🧮 math.FA

Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane

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keywords half-planespacesspectraweightedbergmancompositionfractionalhardy
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We compute the spectra and the essential spectra of bounded linear fractional composition operators acting on the Hardy and weighted Bergman spaces of the upper half-plane. We are also able to extend the results to weighted Dirichlet spaces of the upper half-plane.

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