Israel Journal of Mathematics

, Volume 213, Issue 1, pp 139–173 | Cite as

Global complexification of real analytic globally subanalytic functions

  • Tobias KaiserEmail author


We show that a globally subanalytic function that is real analytic can be extended in a globally subanalytic way to a holomorphic function. We also establish a parametric version of this result. For other important ominimal structures, we show that unary definable real analytic functions can be extended definably to a holomorphic function.


Holomorphic Function Real Analytic Function Cell Decomposition Function Germ Convergent Power Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Hebrew University of Jerusalem 2016

Authors and Affiliations

  1. 1.Faculty of Computer Science and MathematicsUniversity of PassauPassauGermany

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