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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The strong summability of double Fourier series
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Bull. Amer. Math. Soc. 51 (1945), 700-713
References
    1. G. H. Hardy and J. E. Littlewood, Sur la series de Fourier d’une fonction à carré sommable, C. R. Acad. Sci. Paris vol. 156 (1913) pp. 1307-1309. 2. G. H. Hardy and J. E. Littlewood, Notes on the theory of series (IV): On the strong summability of Fourier series, Proc. London Math. Soc. (2) vol. 26 (1927) pp. 273-286. 3. G. H. Hardy and J. E. Littlewood, The strong summability of Fourier series, Fund. Math. vol. 25 (1935) pp. 162-189.
  • G. H. Hardy and J. E. Littlewood, A maximal theorem with function-theoretic applications, Acta Math. 54 (1930), no. 1, 81–116. MR 1555303, DOI 10.1007/BF02547518
    • 5. B. Jessen, J. Marcinkiewicz and A. Zygmund, Note on the differentiability of multiple integrals, Fund. Math. vol. 25 (1935) pp. 217-234.
  • J. Marcinkiewicz, Sur la sommabilité forte de séries de Fourier, J. London Math. Soc. 14 (1939), 162–168 (French). MR 66, DOI 10.1112/jlms/s1-14.3.162
    • 7. M. Riesz, Sur les maxima des formes billinéaires et sur les fonctionnelles linéaires, Acta Math. vol. 49 (1926) pp. 465-497. 8. S. Saks, Remark on the differentiability of the Lebesgue indefinite integral, Fund. Math. vol. 22 (1934) pp. 257-261. 9. S. Saks, Theory of integrals, Monografje Matematyczne, Warsaw, 1937. 10. W. H. Young, Multiple Fourier series, Proc. London Math. Soc, (2) vol. 11 (1913) pp. 133-184. 11. A. Zygmund, On the differentiability of multiple integrals, Fund. Math. vol. 23 (1934) pp. 143-149.
  • A. Zygmund, On the convergence and summability of power series on the circle of convergence. II, Proc. London Math. Soc. (2) 47 (1942), 326–350. MR 7042, DOI 10.1112/plms/s2-47.1.326
    • 13. A. Zygmund, Trigonometrical series, Monografje Matematyczne, Warsaw, 1935.
Additional Information
  • Journal: Bull. Amer. Math. Soc. 51 (1945), 700-713
  • DOI: https://doi.org/10.1090/S0002-9904-1945-08422-5
  • MathSciNet review: 0012692