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

Published 6 May 2016 in math.FA | (1605.01859v3)

Abstract: 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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