Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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On some high indices theorems
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by Daniel Waterman
Trans. Amer. Math. Soc. 69 (1950), 468-478
DOI: https://doi.org/10.1090/S0002-9947-1950-0039102-3
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References
    A. E. Ingham, On the "high indices" theorem of Hardy and Littlewood, Quart. J. Math. Oxford Ser. vol. 8 (1937) pp. 1-8. G. H. Hardy and J. E. Littlewood, Abel’s theorem and its converse (II), Proc. London Math. Soc. (2) vol. 22 (1924) pp. 254-269.
  • Edmund Landau, Über die Konvergenz einiger Klassen von unendlichen Reihen am Rande des Konvergenzgebietes, Monatsh. Math. Phys. 18 (1907), no. 1, 8–28 (German). MR 1547636, DOI 10.1007/BF01694186
    • J. E. Littlewood and R. E. A. C. Paley, Theorems on Fourier series and power series II, Proc. London Math. Soc. vol. 92 (1937) pp. 52-89.
  • A. Zygmund, On certain integrals, Trans. Amer. Math. Soc. 55 (1944), 170–204. MR 9966, DOI 10.1090/S0002-9947-1944-0009966-5
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Bibliographic Information
  • © Copyright 1950 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 69 (1950), 468-478
  • MSC: Primary 42.4X
  • DOI: https://doi.org/10.1090/S0002-9947-1950-0039102-3
  • MathSciNet review: 0039102