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
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In this article we present effective procedures of Kolmogorov's representation of continuous functions of several variables by superposition of continuous functions of one variable. On the one hand, we show internal functions from Sprecher's process in explicit form, on the other hand, we construct external functions using only the information about modules of continuity of the initial function of several variables.
@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/