Testing holomorphy on curves |
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Authors: | Buma L Fridman Daowei Ma |
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Institution: | 1. Department of Mathematics, Wichita State University, Wichita, KS, 67260-0033, USA
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Abstract: | For a domain D ? ? n we construct a continuous foliation of D into one-real-dimensional curves such that any function f ∈ 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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