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@article{FPM_2002_8_1_a2, author = {A. Yu. Golubkov}, title = {The~tracing of external and internal representation functions of continuous functions of several variables by superposition of continuous functions of one variable}, journal = {Fundamentalʹna\^a i prikladna\^a matematika}, pages = {27--38}, publisher = {mathdoc}, volume = {8}, number = {1}, year = {2002}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FPM_2002_8_1_a2/} }
TY - JOUR AU - A. Yu. Golubkov TI - The~tracing of external and internal representation functions of continuous functions of several variables by superposition of continuous functions of one variable JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2002 SP - 27 EP - 38 VL - 8 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2002_8_1_a2/ LA - ru ID - FPM_2002_8_1_a2 ER -
%0 Journal Article %A A. Yu. Golubkov %T The~tracing of external and internal representation functions of continuous functions of several variables by superposition of continuous functions of one variable %J Fundamentalʹnaâ i prikladnaâ matematika %D 2002 %P 27-38 %V 8 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2002_8_1_a2/ %G ru %F FPM_2002_8_1_a2
A. Yu. Golubkov. The~tracing of external and internal representation functions of continuous functions of several variables by superposition of continuous functions of one variable. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 1, pp. 27-38. http://geodesic.mathdoc.fr/item/FPM_2002_8_1_a2/
[1] Tikhomirov V. M., “Raboty A. N. Kolmogorova po $\varepsilon$-entropii funktsionalnykh klassov i superpozitsiyam funktsii”, Uspekhi mat. nauk, 18:5 (1963), 55–92 | MR | Zbl
[2] Sprecher D. A., “On the structure of continuous functions of several variables”, Trans. Amer. Math. Soc., 115 (1965), 340–355 | DOI | MR | Zbl
[3] Kolmogorov A. N., “O predstavlenii nepreryvnykh funktsii neskolkikh peremennykh v vide superpozitsii nepreryvnykh funktsii odnogo peremennogo i slozheniya”, DAN SSSR, 114:5 (1957), 953–956 | MR
[4] Arnold V. I., “O predstavlenii funktsii neskolkikh peremennykh v vide superpozitsii funktsii menshego chisla peremennykh”, Mat. prosveschenie, 1958, no. 3, 41–61
[5] Galochkin A. I., Nesterenko Yu. V., Shidlovskii A. B., Vvedenie v teoriyu chisel, Izd-vo Moskovskogo universiteta, M., 1995 | MR | Zbl