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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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