Functional Banach spaces of holomorphic functions on Reinhardt domains

Jacob Burbea

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We show that if U is a domain of existence in a separable Banach space, then the set of holomorphic functions on U whose domain of existence is U is lineable and algebrable.

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Proper holomorphic mappings in the special class of Reinhardt domains

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A complete characterization of proper holomorphic mappings between domains from the class of all pseudoconvex Reinhardt domains in ℂ² with the logarithmic image equal to a strip or a half-plane is given.