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Ukrainian Mathematical Journal

, Volume 31, Issue 3, pp 227–233 | Cite as

Representation of an infinitely diff erentiable function as a sum of functions belonging to quasianalytic classes

  • V. G. Khryptun
Article
  • 16 Downloads

Keywords

Diff Erentiable Function Erentiable Function Quasianalytic Class 
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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Literature cited

  1. 1.
    S. Mandelbrojt, “Sur les fonctions indéfiniment dérivables,” Acta Math.,72, 15–29 (1940).Google Scholar
  2. 2.
    V. G. Khryptun, “A representation of infinitely differentiable functions,” Dokl. Akad. Nauk SSSR,199, No. 2, 282–284 (1971).Google Scholar
  3. 3.
    V. G. Khryptun, “Supplement to a theorem of S. Mandelbrojt,” Ukr. Mat. Zh.,28, No. 6, 849–853 (1976).Google Scholar
  4. 4.
    L. I. Ronkin, “Quasianalytic classes of functions of several variables,” Dokl. Akad. Nauk SSSR,146, No. 3, 546–549 (1962).Google Scholar
  5. 5.
    S. Mandelbrojt, Adherent Series. Regularization of Sequences. Applications [Russian translation], IL, Moscow (1955).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • V. G. Khryptun
    • 1
  1. 1.Ivano-Frankovsk Pedagogic InstituteUSSR

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