Abstract
In this article we define and construct the ϑ-envelope of holomorphy of X for every type ϑ where X is a Riemann domain over a complex Banach space E.
We first show that if X is an open connected subset of a Banach space E, then there exists a ϑ-envelope of holomorphy, unique up to isomorphism. Next we extend the result to any connected Riemann domain over a Banach space E.
The method is about the same as that used by P. Noverraz in
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References
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© 1981 Springer-Verlag
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Moraes, L.A. (1981). Envelopes for types of holomorphy. In: Machado, S. (eds) Functional Analysis, Holomorphy, and Approximation Theory. Lecture Notes in Mathematics, vol 843. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089286
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DOI: https://doi.org/10.1007/BFb0089286
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