This is a preview of subscription content, log in via an institution to check access.
Literature cited
Sh. A. Alimov, V. A. Il'in, and E. M. Nikishin, “Questions of the convergence of multiple trigonometric series and spectral decompositions,” Usp. Mat. Nauk,31, No. 6, 29–83 (1976).
V. A. Il'in, “Localization conditions of rectangular partial sums of a multiple Fourier series in the classes of S. M. Nikol'skii,” Mat. Zametki,8, 595–606 (1970).
C. Goffman and F. Liu, “On the localization property of square partial sums for multiple Fourier series,” Stud. Math.,34, No. 1, 61–69 (1972).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 46, No. 4, pp. 3–7, October, 1989.
The author conveys thanks to Sh. A. Alimov and V. A. Il'in for a discussion.
Rights and permissions
About this article
Cite this article
Ashurov, R.R. Localization conditions of square partial sums of a multiple trigonometric fourier series in the classes of S. M. Nikol'skii. Mathematical Notes of the Academy of Sciences of the USSR 46, 755–757 (1989). https://doi.org/10.1007/BF01158139
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01158139