Literature Cited
C. Fefferman, “On the divergence of multipie Fourier series”, Bull. Amer. Math. Soc.,77, No. 2, 191–195 (1971).
P. Sjölin, “Convergence almost everywhere of certain singular integrals and multiple Fourier series”, Ark. Mat.,9, No. 1, 65–90 (1971).
E. M. Nikishin, “Weyl factors for multiple Fourier series”, Matem. Sb.,89, No. 2, 343–351 (1972).
M. Bakhbukh, “Sufficient conditions for the convergence of a double series over rectangles”, Matem. Zametki,14, No. 5, 615–618 (1973).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 6, pp. 1189–1199, November–December, 1973.
Rights and permissions
About this article
Cite this article
Bakhbukh, M., Nikishin, E.M. The convergence of the double Fourier series of continuous functions. Sib Math J 14, 832–839 (1973). https://doi.org/10.1007/BF00975888
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00975888