Geodesic
Some problems of approximation theory of functions on the infinite dimensional torus: analogues of Jackson theorems
Algebra i analiz, Tome 26 (2014) no. 6, pp. 99-120.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{AA_2014_26_6_a5,
     author = {S. S. Platonov},
     title = {Some problems of approximation theory of functions on the infinite dimensional torus: analogues of {Jackson} theorems},
     journal = {Algebra i analiz},
     pages = {99--120},
     publisher = {mathdoc},
     volume = {26},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2014_26_6_a5/}
}
TY  - JOUR
AU  - S. S. Platonov
TI  - Some problems of approximation theory of functions on the infinite dimensional torus: analogues of Jackson theorems
JO  - Algebra i analiz
PY  - 2014
SP  - 99
EP  - 120
VL  - 26
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2014_26_6_a5/
LA  - ru
ID  - AA_2014_26_6_a5
ER  - 
%0 Journal Article
%A S. S. Platonov
%T Some problems of approximation theory of functions on the infinite dimensional torus: analogues of Jackson theorems
%J Algebra i analiz
%D 2014
%P 99-120
%V 26
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2014_26_6_a5/
%G ru
%F AA_2014_26_6_a5
S. S. Platonov. Some problems of approximation theory of functions on the infinite dimensional torus: analogues of Jackson theorems. Algebra i analiz, Tome 26 (2014) no. 6, pp. 99-120. http://geodesic.mathdoc.fr/item/AA_2014_26_6_a5/

[1] Khyuitt E., Ross K., Abstraktnyi garmonicheskii analiz., v. 1, Nauka, M., 1975

[2] Rudin W., Fourier analysis on groups, Intersci. Publ., New York–London, 1962 | MR | Zbl

[3] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | MR

[4] Golubov B. I., Efimov A. V., Skvortsov V. A., Ryady i preobrazovaniya Uolsha. Teoriya i primeneniya, Nauka, M., 1987 | MR | Zbl

[5] Agaev G. N., Vilenkin N. Ya., Dzhafarli G. M., Rubinshtein A. I., Multiplikativnye sistemy funktsii i garmonicheskii analiz na nul-mernykh gruppakh, Elm, Baku, 1981 | MR

[6] Berg Ch., “Potential theory on the infinite dimensional torus”, Invent. Math., 32:1 (1976), 49–100 | DOI | MR | Zbl

[7] Holley R., Stroock D. W., “Diffusions on an infinite dimensional torus”, J. Funct. Anal., 42:1 (1981), 29–63 | DOI | MR | Zbl

[8] Taylor Th. J., “On the Wiener semigroup and harmonic analysis on the infinite dimensional torus”, Acta Appl. Math., 10:2 (1987), 131–143 | MR | Zbl

[9] Bendikov A., Saloff-Coste L., “On the sample parts of diagonal Brownian motions on the infinite dimensional torus”, Ann. Inst. H. Poincaré Probab. Statist., 40:2 (2004), 227–254 | DOI | MR | Zbl

[10] Bruhat F., “Distributions sur un groupe localement compact et applications à l'étude des representations des groupes p-adiques”, Bull. Soc. Math. France, 89 (1961), 43–75 | MR | Zbl

[11] Burbaki N., Spektralnaya teoriya. Elementy matematiki, Mir, M., 1972 | MR

[12] Dzyadyk V. K., Vvedenie v teoriyu ravnomernogo priblizheniya funktsii polinomami, Nauka, M., 1977 | MR | Zbl