Testing holomorphy on curves
Fridman, Buma L. Ma, Daowei
Fridman, Buma L.
Ma, Daowei
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2012-11
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Article
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Keywords
Analyticity,Circles,Theorem
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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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Springer
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Israel Journal of Mathematics;v.192 no.2
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ISSN
0021-2172