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Algebraic surfaces determine analyticity of functions

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Publication:2071775
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DOI10.1007/S00013-021-01660-7zbMath1482.14058OpenAlexW3217554584MaRDI QIDQ2071775

Jacek Bochnak, Wojciech Kucharz

Publication date: 31 January 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01660-7


zbMATH Keywords

real algebraic setanalytic functionNash function


Mathematics Subject Classification ID

Real algebraic sets (14P05) Analytic subsets and submanifolds (32C25) Real-analytic and Nash manifolds (58A07) Nash functions and manifolds (14P20) Real-analytic manifolds, real-analytic spaces (32C05)


Related Items (1)

Real-analytic continuation along a fixed direction




Cites Work

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  • Checking real analyticity on surfaces
  • Differential Topology
  • Criteria for Algebraicity of Analytic Functions
  • A characterization of analytic functions of several real variables




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