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Transactions of the American Mathematical Society

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The envelope of holomorphy of Riemann domains over a countable product of complex planes


Author: Mário C. Matos
Journal: Trans. Amer. Math. Soc. 167 (1972), 379-387
MSC: Primary 32D10
MathSciNet review: 0301235
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Abstract: This paper deals with the problem of constructing envelopes of holomorphy for Riemann domains over a locally convex space. When this locally convex space is a countable product of complex planes the existence of the envelope of holomorphy is proved and the domains of holomorphy are characterized.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1972-0301235-6
Keywords: Holomorphic mappings, domains of holomorphy, normal envelope of holomorphy, envelope of holomorphy, Riemann domain over a locally convex space
Article copyright: © Copyright 1972 American Mathematical Society