This is a preview of subscription content, log in via an institution to check access.
Literature Cited
V. L. Shapiro, “Circular summability C of double trigonometric series,” Trans. Am. Math. Soc.,76, 223–233 (1954).
A. Zygmund, Trigonometric Series, Vols. I and II, Cambridge Univ. Press.
M. J. Kohn, “Lebesgue summability of double trigonometric series,” Trans. Am. Math. Soc.,225, 199–209 (1977).
M. J. Kohn, “On Lebesgue summability for double series,” Proc. Am. Math. Soc.,59, No. 2, 283–286 (1976).
M. J. Kohn, “Summability Rr for double series,” Pac. J. Math.,69, No. 2, 433–448 (1977).
G. M. Fikhtengol'ts, A Course in Differential and Integral Calculus [in Russian], Vol. III, Fizmatgiz, Moscow (1963).
E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press (1971).
M. J. Kohn, “Symmetric derivatives defined by weighted spherical means,” Rocky Mountain J. Math.,10, No. 2, 351–370 (1980).
Additional information
Moscow Physicotechnical Institute. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 22, No. 6, pp. 15–21, November–December, 1981.
Rights and permissions
About this article
Cite this article
Golubov, B.I. Generalized symmetric derivative and Lebesgue summability of multiple trigonometric series. Sib Math J 22, 815–820 (1981). https://doi.org/10.1007/BF00968050
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968050