Geodesic
Boas--Telyakovskii Conditions for the Integrability of Multiple Trigonometric Series
Matematičeskie zametki, Tome 84 (2008) no. 4, pp. 627-631.

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

Keywords: multiple trigonometric series, Fourier series, Boas–Telyakovskii conditions, Vallée-Poussin summation method, Hardy–Littlewood inequality. 
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P. V. Zaderej; E. N. Pelagenko. Boas--Telyakovskii Conditions for the Integrability of Multiple Trigonometric Series. Matematičeskie zametki, Tome 84 (2008) no. 4, pp. 627-631. http://geodesic.mathdoc.fr/item/MZM_2008_84_4_a13/

[1] S. A. Telyakovskii, Izv. AN SSSR. Ser. matem., 28 (1964), 1209–1236 | MR | Zbl

[2] Z. Tomovski, Convergence and Integrability on Some Classes of Trigonometric Series, Thesis, St. Kiril and Metodij University, Skopje, 2000

[3] Ya. S. Bugrov, Tr. nauch. ob'ed. prepodav. fiz.-matem. fak-ta ped. in-ta Dalnego Vost., t. 1, 1962, 28–49

[4] S. A. Telyakovskii, Ortogonalnye ryady i priblizhenie funktsii, Tr. MIAN, 164, Nauka, M., 1983, 180–188 | MR | Zbl

[5] Yu. L. Nosenko, Teoriya funktsii i smezhnye voprosy analiza, Tr. MIAN, 180, Nauka, M., 1987, 166–168 | Zbl

[6] O. I. Kuznetsova, Konstanty Lebega i approksimativnye svoistva lineinykh srednikh kratnykh ryadov Fure, Dis. $\dots$ dokt. fiz.-matem. nauk, Institut prikladnoi matematiki i mekhaniki AN USSR, Donetsk, 1985

[7] O. I. Kuznetsova, Matem. zametki, 63:3 (1998), 402–406 | MR | Zbl

[8] F. Móricz, J. Math. Anal. Appl., 154:2 (1991), 452–465 | DOI | MR | Zbl

[9] F. Móricz, J. Math. Anal. Appl., 165:2 (1992), 419–437 | DOI | MR | Zbl

[10] P. V. Zaderei, Ukr. matem. zhurn., 44:3 (1992), 340–365 | MR | Zbl

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

[12] S. A. Telyakovskii, Priblizhenie periodicheskikh funktsii, Tr. MIAN, 109, Nauka, M., 1971, 65–97 | MR | Zbl

[13] V. V. Savchuk, M. V. Savchuk, Ukr. matem. zhurn., 54:12 (2002), 1669–1679 | MR | Zbl

[14] L. V. Taikov, UMN, 17:1 (1962), 223–230 | MR | Zbl

[15] U. Rudin, Teoriya funktsii v polikruge, Mir, M., 1974 | MR | Zbl

[16] A. N. Podkorytov, Vestn. LGU. Ser. matem., mekh., astron., 1982, no. 2, 110–111 | MR | Zbl