@article{SM_1974_24_1_a4,
author = {V. V. Buzdalin},
title = {Trigonometric {Fourier} series of continuous functions diverging on a~given set},
journal = {Sbornik. Mathematics},
pages = {79--102},
year = {1974},
volume = {24},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1974_24_1_a4/}
}
V. V. Buzdalin. Trigonometric Fourier series of continuous functions diverging on a given set. Sbornik. Mathematics, Tome 24 (1974) no. 1, pp. 79-102. http://geodesic.mathdoc.fr/item/SM_1974_24_1_a4/
[1] N. K. Bari, Trigonometricheskie ryady, Fizmatgiz, Moskva, 1961 | MR
[2] P. Du Bois-Reymond, “Untersuchungen über die Convergenz und Divergenz der Fourierschen Darstellungsformen”, Abh. Akad. Wiss. München, X (1876), 1–103
[3] N. Lusin, “Über eine Potenzreihe”, Rend. circ. Mat. Palermo, 32 (1911), 386–390 | DOI | Zbl
[4] H. Steinhaus, “Sur une serie trigonometrique divergente”, C. r. de la Soc. Sci. de Varsovie, V:3 (1912), 223–227
[5] H. Steinhaus, “Sur un problem de N. N. Lusin et Sierpinski”, Bull. Acad. Sci Cracovie, 1913, 435–450 | Zbl
[6] A. Rajchman, “Sur le principe de localisation de Riemann”, C. r. de la Soc. Sci. de Varsovie, 11 (1918), 115–122
[7] A. Kolmogoroff, “Une serie de Fourier-Lebesgue divergente partout”, C. r. Acad. Sci., Paris, 183 (1926), 1327–1328 | Zbl
[8] S. B. Stechkin, “O skhodimosti i raskhodimosti trigonometricheskikh ryadov”, Uspekhi matem. nauk, VI:2 (42) (1951), 148–149
[9] S. B. Stechkin, “O trigonometricheskikh ryadakh, raskhodyaschikhsya v kazhdoi tochke”, Izv. AN SSSR, seriya matem., 21 (1957), 711–728 | Zbl
[10] K. Zeller, “Über Konvergenzmengen von Fourierreihen”, Arch. Math., 6:4 (1955), 335–340 | DOI | MR | Zbl
[11] P. L. Ulyanov, “O raskhodimosti ryadov Fure”, Uspekhi matem. nauk, XII:3 (75) (1957), 75–132 | MR
[12] J. Sladkowska, “Sur les ensembles des points de divergence des series de Fourier des fonctions continues”, C. r. Acad. Sci., Paris, ser. A, 250 (1960), 258–259 | MR | Zbl
[13] J. Sladkowska, “Sur les ensembles des points de divergence des series de Fourier des fonctions continues”, Fundam. math., XLIX (1961), 271–294 | MR
[14] L. V. Taikov, “O raskhodimosti ryadov Fure po perestavlennoi trigonometricheskoi sisteme”, Uspekhi matem. nauk, XVIII:5 (113) (1963), 191–198 | MR
[15] J-P. Kahane, Y. Katznelson, “Sur les ensembles de divergence des series trigonometriques”, Studia math., XXVI (1966), 305–306 | MR
[16] V. V. Buzdalin, “O neogranichenno raskhodyaschikhsya trigonometricheskikh ryadakh Fure ot nepreryvnykh funktsii”, Matem. zametki, 7:1 (1970), 7–18 | MR
[17] L. V. Taikov, “O raskhodimosti vsyudu perestavlennykh ryadov Fure nepreryvnykh funktsii”, Matem. zametki, 9:4 (1971), 459–465 | MR | Zbl
[18] T. W. Körner, “Sets of divergence for Fourier series”, Bull. London Math. Soc., 3:2 (1971), 152–154 | DOI | MR | Zbl
[19] A. Grennberg, Sets of divergence of Fourier series, Report No 1, University of Umea, Sweden, Department of Mathematics, 1972, 1–20 | MR