One-Dimensional Cohomology in Domains of Holomorphy
β Scribed by H. L. Royden
- Book ID
- 120556530
- Publisher
- John Hopkins University Press
- Year
- 1963
- Tongue
- English
- Weight
- 337 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0003-486X
- DOI
- 10.2307/1970509
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π SIMILAR VOLUMES
It is known that in c0 the holomorphic functions representable by multiple power series (the series of monomials) are those of nuclear type. In this article we show that in a Banach space with unconditional Schauder basis every domain of existence is the domain of existence of a holomorphic function
The bornology (b) of bounded subsets with respect to continuous convergence is used on spnces of holomorphic functions. It is shown that Hom,,,Hb( U) 2 U for a circled convex open subset U of a complete nucleiir space. Exponential laws for spaces of holomorphic functions with bornological structures