On a special trigonometric series and its applications
Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 145-155 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Properties of convergence and uniform boundedness are studied for partial sums of a special trigonometric series with an algebraic polynomial in the exponent of the imaginary exponential. Bibliography: 9 titles.
@article{SM_1989_62_1_a9,
     author = {G. I. Arkhipov and K. I. Oskolkov},
     title = {On a~special trigonometric series and its applications},
     journal = {Sbornik. Mathematics},
     pages = {145--155},
     year = {1989},
     volume = {62},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1989_62_1_a9/}
}
TY  - JOUR
AU  - G. I. Arkhipov
AU  - K. I. Oskolkov
TI  - On a special trigonometric series and its applications
JO  - Sbornik. Mathematics
PY  - 1989
SP  - 145
EP  - 155
VL  - 62
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1989_62_1_a9/
LA  - en
ID  - SM_1989_62_1_a9
ER  - 
%0 Journal Article
%A G. I. Arkhipov
%A K. I. Oskolkov
%T On a special trigonometric series and its applications
%J Sbornik. Mathematics
%D 1989
%P 145-155
%V 62
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1989_62_1_a9/
%G en
%F SM_1989_62_1_a9
G. I. Arkhipov; K. I. Oskolkov. On a special trigonometric series and its applications. Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 145-155. http://geodesic.mathdoc.fr/item/SM_1989_62_1_a9/

[1] Zigmund A., Trigonometricheskie ryady, Mir, M., 1965 | MR

[2] Vinogradov I. M., Metod trigonometricheskikh summ v teorii chisel, Nauka, M., 1980 | MR

[3] Arkhipov G. I., “O probleme Gilberta–Kamke”, Izv. AN SSSR. Ser. matem., 48 (1984), 3–52 | MR | Zbl

[4] Ulyanov P. L., “Nekotorye voprosy teorii ortogonalnykh i biortogonalnykh ryadov”, Izv. AN AzSSR. Ser. fiz.-tekhn. i matem. nauk., 1965, 6, 11–13

[5] Oskolkov K. I., “O spektrakh ravnomernoi skhodimosti”, DAN SSSR, 288:1 (1986), 54–58 | MR | Zbl

[6] Oskolkov K. I., “Podposledovatelnosti summ Fure integriruemykh funktsii”, Tr. MIAN, 167, 1985, 239–260 | MR | Zbl

[7] Hardy G. H., Littlewood J. E., “Some problems of Diophantinea approximation. II. The trigonometrical series associated with the elliptic v-functions”, Acta Math., 37 (1914), 193–238 | DOI | MR

[8] Chen Jing Run, “On Professor Hua's estimate of exponential sum”, Sci. Sinica, 20:6 (1977), 711–719 | MR | Zbl

[9] Stechkin S. B., “Otsenka polnoi ratsionalnoi trigonometricheskoi summy”, Tr. MIAN, 143, 1977, 188–207 | Zbl