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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.

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Mean motions and almost periodic functions
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by Philip Hartman PDF
Trans. Amer. Math. Soc. 46 (1939), 66-81 Request permission
References
    P. Bohl, Über ein in der Theorie der säkularen Strömungen vorkommendes Problem, Journal für die reine und angewandte Mathematik, vol. 135 (1909), pp. 189-283.
  • Harald Bohr, Zur Theorie der Fastperiodischen Funktionen, Acta Math. 46 (1925), no. 1-2, 101–214 (German). II. Zusammenhang der fastperiodischen Funktionen mit Funktionen von unendlich vielen Variabeln; gleichmässige Approximation durch trigonometrische Summen. MR 1555201, DOI 10.1007/BF02543859
    • —, Kleinere Beiträge zur Theorie der fastperiodischen Funktionen, I, Danske Videnskabernes Selskab, Mathematisk-Fysiske Medelelser, vol. 10 (1930), no. 10.
  • Harald Bohr and Börge Jessen, Über die Werteverteilung der Riemannschen Zetafunktion, Acta Math. 54 (1930), no. 1, 1–35 (German). MR 1555301, DOI 10.1007/BF02547516
  • Philip Hartman, E. R. Van Kampen, and Aurel Wintner, Mean Motions and Distribution Functions, Amer. J. Math. 59 (1937), no. 2, 261–269. MR 1507234, DOI 10.2307/2371406
  • Philip Hartman, E. R. van Kampen, and Aurel Wintner, On the Distribution Functions of Almost Periodic Functions, Amer. J. Math. 60 (1938), no. 2, 491–500. MR 1507330, DOI 10.2307/2371312
    • P. Hartman and A. Wintner, On the secular constants of almost periodic functions, Travaux de l’Institut Mathématique de Tblissi, vol. 2 (1937), pp. 37-40.
  • E. R. Van Kampen and Aurel Wintner, Convolutions of Distributions on Convex Curves and the Riemann Zeta Function, Amer. J. Math. 59 (1937), no. 1, 175–204. MR 1507229, DOI 10.2307/2371571
  • Börge Jessen, Über die Nullstellen einer analytischen fastperiodischen Funktion. Eine Verallgemeinerung der Jensenschen Formel, Math. Ann. 108 (1933), no. 1, 485–516 (German). MR 1512861, DOI 10.1007/BF01452849
  • B. Jessen, The theory of integration in a space of an infinite number of dimensions, Acta Math. 63 (1934), no. 1, 249–323. MR 1555395, DOI 10.1007/BF02547355
    • —, Om Sekularkonstanten for en naestenperiodisk Funktion, Matematisk Tidsskrift, B, 1937, pp. 45-48. H. Weyl, Sur une application de la théorie des nombres à la mécanique statistique et la théorie des perturbations, Enseignement Mathématique, vol. 16 (1914), pp. 455-467.
  • Hermann Weyl, Mean Motion, Amer. J. Math. 60 (1938), no. 4, 889–896. MR 1507355, DOI 10.2307/2371267
  • Aurel Wintner, Upon a Statistical Method in the Theory of Diophantine Approximations, Amer. J. Math. 55 (1933), no. 1-4, 309–331. MR 1506967, DOI 10.2307/2371133
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Additional Information
  • © Copyright 1939 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 46 (1939), 66-81
  • MSC: Primary 42.3X
  • DOI: https://doi.org/10.1090/S0002-9947-1939-0000068-9
  • MathSciNet review: 0000068