Finite representations of 1 in certain function algebras
作者:
Salvatore Coen,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1988)
卷期:
Volume 10,
issue 2-3
页码: 183-223
ISSN:0278-1077
年代: 1988
DOI:10.1080/17476938808814300
出版商: Gordon and Breach Science Publishers
关键词: 32E25;32C35;46H05
数据来源: Taylor
摘要:
Conditions so that a finite number of elementsf0fnof a functionF-algebra A can generate A as an A-module are considered from various points of view. In several cases, simple explicit algebraic tools are presented to reduce the problem of finding the coefficients of a representation of 1 to integrations in suitable algebraic complexes (sometimes, it is a question of integration of ∂exact forms). Applications to algebras of holomorphic functions on domains X with strictly pseudoconvex boundary are described. especially when the considered functions have rather regular behavior up to the boundary of X.
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