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An interpolation characterization of domains of holomorphy

✍ Scribed by Liu Taishun; Liu Congwen; Zhang Wenjun


Publisher
Springer
Year
1997
Tongue
English
Weight
141 KB
Volume
42
Category
Article
ISSN
1001-6538

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πŸ“œ SIMILAR VOLUMES


Example of an interpolation domain
✍ David C. Lantz πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 72 KB

Cahen et al. (J. Algebra 225 (2000) 794) , have deΓΏned a domain to be an interpolation domain if, essentially, Lagrange interpolation can be done using integer-valued polynomials. They prove results indicating that in some cases every overring of an interpolation domain is again an interpolation do

Reinhardt domains of holomorphy in Banac
✍ MΓ‘rio C Matos; Leopoldo Nachbin πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 643 KB

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