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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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.

 

Sets of uniqueness and sets of multiplicity
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by R. Salem PDF
Trans. Amer. Math. Soc. 54 (1943), 218-228 Request permission
References
    Bary, Nina Sur l’unicité du développement trigonométrique, Fund. Math. vol. 9 (1927) pp. 62-118. —Sur la nature diophantique du problème d’unicité du développement trigonométrique, C. R. Acad. Sci. Paris vol. 202 (1936) p. 1901. —Sur le rôle des lois diophantiques dans le problème d’unicité du développement trigonométrique, Rec. Math. (Mat. Sbornik) N.S. vol. 2 (1937) pp. 699-722. Carleman, T. Sur les équations intégrales singulières a noyau réel et symétrique, Uppsala University Årsskrift, 1923.
  • Paul Erdös, On a family of symmetric Bernoulli convolutions, Amer. J. Math. 61 (1939), 974–976. MR 311, DOI 10.2307/2371641
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  • Børge Jessen and Aurel Wintner, Distribution functions and the Riemann zeta function, Trans. Amer. Math. Soc. 38 (1935), no. 1, 48–88. MR 1501802, DOI 10.1090/S0002-9947-1935-1501802-5
  • Richard Kershner, On Singular Fourier-Stieltjes Transforms, Amer. J. Math. 58 (1936), no. 2, 450–452. MR 1507167, DOI 10.2307/2371053
    • Marcinkiewicz, J. and Zygmund, A. Two theorems on trigonometrical series, Rec. Math. (Mat. Sbornik) N. S. vol. 2 (1937) pp. 733-737.
  • Charles Pisot, La répartition modulo 1 et les nombres algébriques, Ann. Scuola Norm. Super. Pisa Cl. Sci. (2) 7 (1938), no. 3-4, 205–248 (French). MR 1556807
    • Pólya, G. and Szegö, G. Aufgaben und Lehrsätze aus der Analysis, Berlin, 1925.
  • Alexandre Rajchman, Sur la multiplication des séries trigonométriques et sur une classe remarquable d’ensembles fermés, Math. Ann. 95 (1926), no. 1, 389–408 (French). MR 1512284, DOI 10.1007/BF01206617
  • Alexandre Rajchman, Une classe de séries trigonométriques qui convergent presque partout vers zéro, Math. Ann. 101 (1929), no. 1, 686–700 (French). MR 1512561, DOI 10.1007/BF01454869
  • Raphaël Salem, The absolute convergence of trigonometrical series, Duke Math. J. 8 (1941), 317–334. MR 4325
  • R. Salem, On singular monotonic functions of the Cantor type, J. Math. Phys. Mass. Inst. Tech. 21 (1942), 69–82. MR 6765, DOI 10.1002/sapm194221169
  • T. Vijayaraghavan, On the fractional parts of the powers of a number. II, Proc. Cambridge Philos. Soc. 37 (1941), 349–357. MR 6217
    • Zygmund, A. Trigonometrical series, Warszawa-Lwow, 1935.
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Additional Information
  • © Copyright 1943 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 54 (1943), 218-228
  • MSC: Primary 42.4X
  • DOI: https://doi.org/10.1090/S0002-9947-1943-0008428-8
  • MathSciNet review: 0008428