Literature cited
S. Mandelbrojt, “Sur les fonctions indéfiniment dérivables,” Acta Math.,72, 15–29 (1940).
V. G. Khryptun, “A representation of infinitely differentiable functions,” Dokl. Akad. Nauk SSSR,199, No. 2, 282–284 (1971).
V. G. Khryptun, “Supplement to a theorem of S. Mandelbrojt,” Ukr. Mat. Zh.,28, No. 6, 849–853 (1976).
L. I. Ronkin, “Quasianalytic classes of functions of several variables,” Dokl. Akad. Nauk SSSR,146, No. 3, 546–549 (1962).
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