Israel Journal of Mathematics

, Volume 192, Issue 2, pp 535–539 | Cite as

Testing holomorphy on curves

  • Buma L. Fridman
  • Daowei Ma


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


Holomorphic Function Lipschitz Condition Limit Direction Complex Line Real Analytic Function 
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Copyright information

© Hebrew University Magnes Press 2012

Authors and Affiliations

  1. 1.Department of MathematicsWichita State UniversityWichitaUSA

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