Nowhere analytic \(C^\infty\) functions

DOI10.1016/0022-247X(91)90304-IzbMath0751.26014MaRDI QIDQ1178484

T. I. Ramsamujh

Publication date: 26 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

\(C^\infty\) functionsMorgenstern's theoremPringsheim singularityZahorski's theorem

Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10)

Related Items

A note on the generic nature of Pringsheim functions ⋮ Large algebras of singular functions vanishing on prescribed sets ⋮ Nowhere Hölderian functions and Pringsheim singular functions in the disc algebra ⋮ Lineability of sets of nowhere analytic functions

Cites Work

• When is a \(C^{\infty}\) function analytic?
• A theorem on analytic functions of a real variable
• Supplément au mémoire „Sur l'ensemble des points singuliers d'une fonction d'une variable réelle admettant les dérivées de tous les ordres"