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Testing holomorphy on curves

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Abstract

For a domain D ⊂ ℝn 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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Authors and Affiliations

  1. Department of Mathematics, Wichita State University, Wichita, KS, 67260-0033, USA

    Buma L. Fridman & Daowei Ma

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  1. Buma L. Fridman
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  2. Daowei Ma
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Correspondence to Buma L. Fridman.

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Fridman, B.L., Ma, D. Testing holomorphy on curves. Isr. J. Math. 192, 535–539 (2012). https://doi.org/10.1007/s11856-012-0034-z

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  • DOI: https://doi.org/10.1007/s11856-012-0034-z

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