Siberian Mathematical Journal

, Volume 22, Issue 6, pp 815–820 | Cite as

Generalized symmetric derivative and Lebesgue summability of multiple trigonometric series

  • B. I. Golubov


Trigonometric Series Symmetric Derivative Multiple Trigonometric Series Lebesgue Summability 
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Literature Cited

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    V. L. Shapiro, “Circular summability C of double trigonometric series,” Trans. Am. Math. Soc.,76, 223–233 (1954).Google Scholar
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    A. Zygmund, Trigonometric Series, Vols. I and II, Cambridge Univ. Press.Google Scholar
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    M. J. Kohn, “Lebesgue summability of double trigonometric series,” Trans. Am. Math. Soc.,225, 199–209 (1977).Google Scholar
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    M. J. Kohn, “On Lebesgue summability for double series,” Proc. Am. Math. Soc.,59, No. 2, 283–286 (1976).Google Scholar
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    M. J. Kohn, “Summability Rr for double series,” Pac. J. Math.,69, No. 2, 433–448 (1977).Google Scholar
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    G. M. Fikhtengol'ts, A Course in Differential and Integral Calculus [in Russian], Vol. III, Fizmatgiz, Moscow (1963).Google Scholar
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    E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press (1971).Google Scholar
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    M. J. Kohn, “Symmetric derivatives defined by weighted spherical means,” Rocky Mountain J. Math.,10, No. 2, 351–370 (1980).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • B. I. Golubov

There are no affiliations available

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