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A uniqueness theorem for bounded analytic functions on the polydisc
uniqueness theorem bounded analytic functions polydisc
2011/2/21
For each n,N ≥ 1 let IN(Dn) denote the set of rational inner functions on Dn of degree strictly less than N. We construct a set of points 1, ..., Nn ∈ Dn with the following property: if f ∈ IN(Dn) a...
Essential Spectra of Composition Operators on the Space of Bounded Analytic Functions
Essential Spectra Bounded Analytic Functions Composition Operators
2010/2/25
In this small note we characterize the essential spectra of a class of composition operators on H\infty(H) of the upper half-plane H and on H\infty(D) of the unit disc D. These composition operators a...