Geodesic
Variation of Fourier–Haar coefficients
Sbornik. Mathematics, Tome 195 (2004) no. 3, pp. 441-457 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Series of differences of Fourier–Haar coefficients are studied. It is demonstrated that in certain cases their behaviour is similar to the behaviour of the series of coefficients themselves. 
@article{SM_2004_195_3_a5,
     author = {V. Sh. Tsagareishvili},
     title = {Variation of {Fourier{\textendash}Haar} coefficients},
     journal = {Sbornik. Mathematics},
     pages = {441--457},
     year = {2004},
     volume = {195},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2004_195_3_a5/}
}
TY  - JOUR
AU  - V. Sh. Tsagareishvili
TI  - Variation of Fourier–Haar coefficients
JO  - Sbornik. Mathematics
PY  - 2004
SP  - 441
EP  - 457
VL  - 195
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SM_2004_195_3_a5/
LA  - en
ID  - SM_2004_195_3_a5
ER  - 
%0 Journal Article
%A V. Sh. Tsagareishvili
%T Variation of Fourier–Haar coefficients
%J Sbornik. Mathematics
%D 2004
%P 441-457
%V 195
%N 3
%U http://geodesic.mathdoc.fr/item/SM_2004_195_3_a5/
%G en
%F SM_2004_195_3_a5
V. Sh. Tsagareishvili. Variation of Fourier–Haar coefficients. Sbornik. Mathematics, Tome 195 (2004) no. 3, pp. 441-457. http://geodesic.mathdoc.fr/item/SM_2004_195_3_a5/

[1] Haar A., Zur Theorie der orthogonaler Funktionensysteme, Inauguraldissertation, Göttingen, 1909

[2] Haar A., “Zur Theorie der orthogonaler Funktionensysteme”, Math. Ann., 69 (1910), 331–371 | DOI | MR | Zbl

[3] Ulyanov P. L., “Reshenie i peremennye problemy teorii trigonometricheskikh i ortogonalnykh ryadov”, UMN, 19:1 (1964), 3–69 | MR

[4] Ul'yanov P. L., “Haar series and related questions”, A. Haar memorial conference, V. I, II (Budapest, 1985), Colloq. Math. Soc. János Bolyai., 49, North-Holland, Amsterdam, 1987, 57–96 | MR

[5] Ulyanov P. L., “Metricheskaya teoriya funktsii”, Trudy MIAN, 182, 1988, 180–223 | MR

[6] Golubov B. I., “Ryady po sisteme Khaara”, Itogi nauki i tekhniki. Matem. analiz, VINITI, M., 1971, 109–146 | MR

[7] Wade W. R., “Recent developments in the theory of Haar series”, Colloq. Math., 52:2 (1987), 213–238 | MR | Zbl

[8] Aleksich G., Problemy skhodimosti ortogonalnykh ryadov, IL, M., 1963 | MR

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

[10] Zygmund A., “Smooth functions”, Duke Math. J., 12:1 (1945), 47–75 | DOI | MR

[11] Ulyanov P. L., “O ryadakh po sisteme Khaara”, Dokl. AN SSSR, 149:3 (1963), 532–534 | MR | Zbl

[12] Ulyanov P. L., “O ryadakh po sisteme Khaara”, Matem. sb., 63 (105):3 (1964), 356–391 | MR | Zbl

[13] Golubov B. I., “O ryadakh Fure nepreryvnykh funktsii po sisteme Khaara”, Izv. AN SSSR. Ser. matem., 28:6 (1964), 1271–1296 | MR | Zbl

[14] McLaughlin J. R., “Haar series”, Trans. Amer. Math. Soc., 137 (1969), 153–175 | DOI | MR

[15] Bochkarev S. V., “O koeffitsientakh ryadov po sisteme Khaara”, Matem. sb., 80:1 (1969), 97–116 | MR | Zbl

[16] Stechkin S. B., “Ob absolyutnoi skhodimosti ryadov Fure”, Izv. AN SSSR. Ser. matem., 17 (1953), 87–98 | Zbl