Voir la notice de l'article provenant de la source Math-Net.Ru
@article{UZERU_1988_1_a12, author = {M. G. Grigoryan}, title = {The representation of measurable functions by usual and multiple series of {Legendre} polynomials}, journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences}, pages = {143--146}, publisher = {mathdoc}, number = {1}, year = {1988}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/UZERU_1988_1_a12/} }
TY - JOUR AU - M. G. Grigoryan TI - The representation of measurable functions by usual and multiple series of Legendre polynomials JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 1988 SP - 143 EP - 146 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_1988_1_a12/ LA - ru ID - UZERU_1988_1_a12 ER -
%0 Journal Article %A M. G. Grigoryan %T The representation of measurable functions by usual and multiple series of Legendre polynomials %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 1988 %P 143-146 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_1988_1_a12/ %G ru %F UZERU_1988_1_a12
M. G. Grigoryan. The representation of measurable functions by usual and multiple series of Legendre polynomials. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1988), pp. 143-146. http://geodesic.mathdoc.fr/item/UZERU_1988_1_a12/
[1] D. E. Menshov, “Sur la série de Fourier des fonctions continues”, Matem. sb., 8(50) (1940), 493–518 | MR
[2] D. E. Menshov, “Sur la représentation des fonctions mesurables par des séries trigonométrique”, Matem. sb., 9 (1941), 667–692 | MR | Zbl
[3] D. E. Menshov, “O ryadakh Fure ot summiruemykh funktsii”, Tr. Mosk. matem. ob-va, 1, 1952, 5–58 | MR | Zbl
[4] A. A. Talalyan, “Predstavlenie izmerimykh funktsii ryadami”, Uspekhi mat. nauk, 15:5 (1960), 77–141 | DOI | MR | Zbl
[5] P. L. Ulyanov, “Predstavlenie funktsii ryadami i klassy $\varphi(L)$”, UMN, 27:2 (1972), 3–52 | MR | Zbl
[6] M. G. Grigoryan, “O skhodimosti pochti vsyudu dvoinykh ryadov Fure summiruemykh funktsii”, Anal. Math., 11:3 (1985), 201–216 | DOI | MR | Zbl
[7] E. V. Gobson, Teoriya sfericheskikh i ellipsoidalnykh funktsii, IL, M., 1952
[8] H. Pollard, “The mean convergence of orthogonal series. III”, Duke Math. J., 16:1 (1949), 189–191 | DOI | MR | Zbl
[9] J. Neuman, W. Rudin, “Mean convergence of orthogonal series”, Proc. Amer. Math. Soc., 3 (1952), 219–222 | DOI | MR | Zbl
[10] K. S. Kazaryan, “O nekotorykh voprosakh teorii ortogonalnykh ryadov”, Matem. sb., 1982, no. 2, 278–294 | MR | Zbl
[11] B. S. Kashin, “Ob odnoi polnoi ortonormirovannoi sisteme”, Matem. sb., 99(141) (1976), 356–365 | MR | Zbl
[12] M. G. Grigoryan, “O skhodimosti v metrike LP i pochti vsyudu podposledovatelnostei sfericheskikh chastichnykh summ dvoinykh ryadov Fure po polnym ortonormirovannym sistemam”, Mezhvuzovskii sb. (Matematika), 1984, no. 2
[13] M. G. Grigoryan, “O skhodimosti sfericheskikh srednikh Rissa kratnykh integralov Fure”, DAN Arm. SSR, 69:2 (1979)