Groups of composition operators on Dirichlet spaces of the upper half-plane

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Agwang, Meshack
Bonyo, Job
Okoth, Isaac

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Strathmore University

Abstract

Using the theory of similar semi groups, we undertake a complete analysis of groups SBS of composition operators on Dirichlet spaces. Specifically, we obtain both the semi group and spectral properties of groups of weighted composition operators implemented by automorphism groups of upper half—plane.

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Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya

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