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When is a \(C^{\infty}\) function analytic?

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Publication:916939
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DOI10.1007/BF03025882zbMath0704.41021WikidataQ56455215 ScholiaQ56455215MaRDI QIDQ916939

R. P. jun. Boas

Publication date: 1989

Published in: The Mathematical Intelligencer (Search for Journal in Brave)


zbMATH Keywords

analyticity of a \(C^{\infty }\)-function


Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Real-analytic functions (26E05)


Related Items (2)

Nowhere analytic \(C^\infty\) functions ⋮ Unnamed Item



Cites Work

  • Pointwise conditions for analyticity and polynomiality of infinitely differentiable functions
  • Singularitäten unendlich oft differenzierbarer Funktionen
  • Holomorphic extension of a function whose odd derivatives are summable
  • The Sequence of Derivatives of a C ∞ Function
  • Sur l'ensemble des points singuliers d'une fonction d'une variable réelle admettant les dérivées de tous les ordres


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