@article{SM_1976_29_4_a5,
author = {L. V. Zhizhiashvili},
title = {On trigonometric {Fourier} series},
journal = {Sbornik. Mathematics},
pages = {521--546},
year = {1976},
volume = {29},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1976_29_4_a5/}
}
L. V. Zhizhiashvili. On trigonometric Fourier series. Sbornik. Mathematics, Tome 29 (1976) no. 4, pp. 521-546. http://geodesic.mathdoc.fr/item/SM_1976_29_4_a5/
[1] L. V. Zhizhiashvili, “O nekotorykh voprosakh iz teorii prostykh i kratnykh trigonometricheskikh i ortogonalnykh ryadov”, Uspekhi matem. nauk, XXVIII:2 (170) (1973), 65–119
[2] N. K. Bari, Trigonometricheskie ryady, Gostekhizdat, Moskva, 1961 | MR
[3] P. Fatou, “Séries trigonométriques et séries de Taylor”, Acta Math., 30 (1906), 335–400 | DOI | MR | Zbl
[4] G. H. Hardy, J. E. Littlewood, “Abel's theorem and its convergence”, Proc. London Math. Soc., 18 (1919), 205–235 | DOI | Zbl
[5] G. H. Hardy, J. E. Littlewood, “Some new convergence criteria for Fourier series”, J. London Math. Soc., 7 (1932), 252–256 | DOI | Zbl
[6] G. H. Hardy, J. E. Littlewood, “Some new convergence criteria for Fourier series”, Ann. Scole Norm. Super de Pisa, 3 (1934), 43–62 | MR | Zbl
[7] R. Paley, “On Fourier series with positive coefficients”, J. London, Math. Soc., 7 (1932), 205–208 | DOI | Zbl
[8] O. Szasz, “Zur Konvergenztheorie der Fourierschen Reihen”, Acta Math., 61 (1933), 185–201 | DOI | MR | Zbl
[9] A. Zygmund, “Sur la sommabilité des séries de Fourier des fonctions vérifiant la condition de Lipschitz”, Bull. de l'Acad. Polon., 1925, 1–9 | Zbl
[10] G. H. Hardy, J. E. Littlewood, “A convergence criterion for Fourier series”, Math. Z., 28 (1928), 612–634 | DOI | MR | Zbl
[11] K. Yano, “On Hardy and Littlewood's theorem”, Proc. Japan Acad., 33 (1957), 73–74 | DOI | MR | Zbl
[12] L. V. Zhizhiashvili, Sopryazhennye funktsii i trigonometricheskie ryady, Tbilisi, 1969 | MR
[13] M. M. Lekishvili, “Teoremy vlozheniya i priblizhenie funktsii srednimi”, Soobsch. AN GruzSSR, 71:1 (1973), 49–52 | Zbl
[14] T. I. Akhobadze, O skhodimosti i summiruemosti prostykh i kratnykh ryadov Fure, Kand. dissertatsiya, Tbilisi, 1973
[15] L. V. Zhizhiashvili, “O summiruemosti kratnykh trigonometricheskikh ryadov Fure”, Soobsch. AN GruzSSR, 75:1 (1974), 49–51
[16] L. V. Zhizhiashvili, “O prostykh i kratnykh ryadakh Fure”, DAN SSSR, 225:2 (1975), 256–258 | MR | Zbl
[17] A. Zigmund, Trigonometricheskie ryady, t. 1, Fizmatgiz, Moskva, 1965
[18] G. Páe Névai, “Fourier-sorok és interpoláció”, Matem. Lapok, 3–4 (1972), 261–290
[19] M. A. Subkhankulov, L. I. Krainova, “Granichnye znacheniya integrala Puassona i skhodimost ryadov Fure”, DAN UzSSR, seriya fiz.-matem. n., 1967, no. 1, 23–31 | Zbl
[20] W. H. Young, “Konvergenzbedingungen für die verwandte Reihe einer Fourierschen Reihe”, Münchener Sitzungsber., 41 (1911), 361–371 | Zbl
[21] L. Cesari, “Sulle cerie di Fourier della fonzioni Lipshitziane di piu variabili”, Ann. Scole Norm. Super de Pisa, 7 (1938), 279–295 | MR | Zbl