Geodesic
Trigonometric Fourier Series and Walsh--Fourier Series with Lacunary Sequence of Partial Sums
Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 305-309.

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

Keywords: multiple Fourier series, Walsh–Fourier series, lacunary sequence of partial sums, Walsh–Paley system of functions
Mots-clés : Lebesgue measure. 
@article{MZM_2013_93_2_a14,
     author = {S. K. Bloshanskaya and I. L. Bloshanskii and O. V. Lifantseva},
     title = {Trigonometric {Fourier} {Series} and {Walsh--Fourier} {Series} with {Lacunary} {Sequence} of {Partial} {Sums}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {305--309},
     publisher = {mathdoc},
     volume = {93},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a14/}
}
TY  - JOUR
AU  - S. K. Bloshanskaya
AU  - I. L. Bloshanskii
AU  - O. V. Lifantseva
TI  - Trigonometric Fourier Series and Walsh--Fourier Series with Lacunary Sequence of Partial Sums
JO  - Matematičeskie zametki
PY  - 2013
SP  - 305
EP  - 309
VL  - 93
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a14/
LA  - ru
ID  - MZM_2013_93_2_a14
ER  - 
%0 Journal Article
%A S. K. Bloshanskaya
%A I. L. Bloshanskii
%A O. V. Lifantseva
%T Trigonometric Fourier Series and Walsh--Fourier Series with Lacunary Sequence of Partial Sums
%J Matematičeskie zametki
%D 2013
%P 305-309
%V 93
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a14/
%G ru
%F MZM_2013_93_2_a14
S. K. Bloshanskaya; I. L. Bloshanskii; O. V. Lifantseva. Trigonometric Fourier Series and Walsh--Fourier Series with Lacunary Sequence of Partial Sums. Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 305-309. http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a14/

[1] A. Kolmogoroff, Fund. Math., 5 (1924), 96–97 | Zbl

[2] J. E. Littlewood, R. E. A. C. Paley, J. London Math. Soc., 6 (1931), 230–233 | MR | Zbl

[3] R. P. Gosselin, Proc. Amer. Math. Soc., 9 (1958), 278–282 | DOI | MR | Zbl

[4] A. A. Shneider, DAN SSSR, 70:6 (1950), 969–971 | MR | Zbl

[5] S. V. Konyagin, Matem. zametki, 54:4 (1993), 69–75 | MR | Zbl

[6] P. Sjölin, Ark. Mat., 9:1 (1971), 65–90 | DOI | MR | Zbl

[7] D. K. Sanadze, Sh. V. Kheladze, Sbornik rabot po teorii funktsii, Tr. Tbilissk. matem. in-ta, 55, 1977, 93–106 | MR | Zbl

[8] M. Kojima, Sci. Rep. Kanazawa Univ., 22:2 (1977), 163–177 | MR | Zbl

[9] F. Schipp, W. R. Wade, P. Simon, J. Pál, Walsh Series. An Introduction to Dyadic Harmonic Analysis, Adam Hilger, Bristol, 1990 | MR | Zbl

[10] S. F. Lukomskii, Matem. zametki, 56:1 (1994), 57–62 | MR | Zbl

[11] I. L. Bloshanskii, DAN SSSR, 271:6 (1983), 1294–1298 | MR | Zbl

[12] I. L. Bloshanskii, Izv. AN SSSR. Ser. matem., 49:2 (1985), 243–282 | MR | Zbl

[13] S. K. Bloshanskaya, I. L. Bloshanskii, DAN, 332:5 (1993), 549–552 | MR | Zbl

[14] S. K. Bloshanskaya, I. L. Bloshanskii, Issledovaniya po teorii differentsiruemykh funktsii mnogikh peremennykh i ee prilozheniyam. Chast 17, Sbornik statei, Tr. MIAN, 214, Nauka, M., 1997, 83–106 | MR | Zbl

[15] I. L. Bloshanskii, O. V. Lifantseva, DAN, 423:4 (2008), 439–442 | MR | Zbl