Abstract
Let G be a bounded domain in ℂ with smooth boundary, and let α be a C 2-diffeomorphism of \( \bar{G} \) such that \( \alpha o\alpha = i{{d}_{{\bar{G}}}} \). A symbol algebra is described for the C*-algebra generated by a poly-Bergman projection of G, all multiplication operators \( aI(a \in C(\bar{G})) \) and the composition operator \( Wf = f^\circ \alpha \).
Supported by CONACyT during the stay at the College of William & Mary when the research was conducted.
Supported in part by NSF grant DMS 9988579.
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Dedicated to Professor Georgii Litvinchuk on the occasion of his 70th birthday
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Ramírez, J., Spitkovsky, I.M. (2003). On the Algebra Generated by a Poly-Bergman Projection and a Composition Operator. In: Samko, S., Lebre, A., dos Santos, A.F. (eds) Factorization, Singular Operators and Related Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0227-0_18
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DOI: https://doi.org/10.1007/978-94-017-0227-0_18
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