Testing holomorphy on curves

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Authors
Fridman, Buma L.
Ma, Daowei
Advisors
Issue Date
2012-11
Type
Article
Keywords
Analyticity , Circles , Theorem
Research Projects
Organizational Units
Journal Issue
Citation
Fridman, Buma L.; Ma, Daowei. 2012. Testing holomorphy on curves. Israel Journal of Mathematics, v.192 no.2 pp.535-539
Abstract

For a domain D aS, a"e (n) we construct a continuous foliation of D into one-real-dimensional curves such that any function f a C (1)(D) which can be extended holomorphically into some neighborhood of each curve in the foliation will be holomorphic on D.

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Publisher
Springer
Journal
Book Title
Series
Israel Journal of Mathematics;v.192 no.2
PubMed ID
DOI
ISSN
0021-2172
EISSN