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

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Literature cited

  1. S. Mandelbrojt, “Sur les fonctions indéfiniment dérivables,” Acta Math.,72, 15–29 (1940).

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  2. V. G. Khryptun, “A representation of infinitely differentiable functions,” Dokl. Akad. Nauk SSSR,199, No. 2, 282–284 (1971).

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  3. V. G. Khryptun, “Supplement to a theorem of S. Mandelbrojt,” Ukr. Mat. Zh.,28, No. 6, 849–853 (1976).

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  4. L. I. Ronkin, “Quasianalytic classes of functions of several variables,” Dokl. Akad. Nauk SSSR,146, No. 3, 546–549 (1962).

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  5. S. Mandelbrojt, Adherent Series. Regularization of Sequences. Applications [Russian translation], IL, Moscow (1955).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 3, pp. 295–302, May–June, 1979.

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Khryptun, V.G. Representation of an infinitely diff erentiable function as a sum of functions belonging to quasianalytic classes. Ukr Math J 31, 227–233 (1979). https://doi.org/10.1007/BF01089023

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  • DOI: https://doi.org/10.1007/BF01089023

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