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THE GEOMETRY OF BLASCHKE PRODUCTS MAPPINGS

    https://doi.org/10.1142/9789812837332_0013Cited by:0 (Source: Crossref)
    Abstract:

    A Blaschke product B generates a covering Riemann surface (W, B) of the complex plane. The study of such surfaces is undertaken here in a very general context, where the cluster points of the zeros of B form a (generalized) Cantor set. Explicit forms and fundamental domains for the covering transformations are revealed for a particular case of Blaschke products.