Extending analyticK-subanalytic functions |
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| Authors: | Piękosz Artur |
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| Affiliation: | (1) Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland |
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| Abstract: | Letg:U→ℝ (U open in ℝn) be an analytic and K-subanalytic (i. e. definable in ℝ an K , whereK, the field of exponents, is any subfield ofℝ) function. Then the set of points, denoted Σ, whereg does not admit an analytic extension is K-subanalytic andg can be extended analytically to a neighbourhood of Ū∑. Partially supported by the European RTN Network RAAG (contract no. HPRN-CT-00271) |
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| Keywords: | Analytic extension K-subanalytic o-minimal |
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