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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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Generalized $n$th primitives
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by R. D. James PDF
Trans. Amer. Math. Soc. 76 (1954), 149-176 Request permission
References
    J. C. Burkill, The Cesàro-Perron scale of integration, Proc. London Math. Soc. (2) vol. 39 (1935) pp. 541-552. A. Denjoy, Sur l’intégration des coefficients différentiels d’ordre supérieur, Fund. Math. vol. 25 (1935) pp. 273-326.
  • R. D. James and Walter H. Gage, A generalized integral, Trans. Roy. Soc. Canada Sect. III 40 (1946), 25–35. MR 21081
  • R. D. James, A generalized integral. II, Canad. J. Math. 2 (1950), 297–306. MR 36344, DOI 10.4153/cjm-1950-027-4
  • S. Saks, On generalized derivatives, J. London Math. Soc. vol. 7 (1932) pp. 247-251. —, Theory of the integral, Warsaw, 1937.
  • W. L. C. Sargent, A descriptive definition of CesĂ ro-Perron integrals, Proc. London Math. Soc. (2) 47 (1941), 212–247. MR 5897, DOI 10.1112/plms/s2-47.1.212
  • W. L. C. Sargent, On generalized derivatives and CesĂ ro-Denjoy integrals, Proc. London Math. Soc. (2) 52 (1951), 365–376. MR 41199, DOI 10.1112/plms/s2-52.5.365
  • František Wolf, On summable trigonometrical series: an extension of uniqueness theorems, Proc. London Math. Soc. 45 (1939), 328–356. MR 0001369, DOI 10.1112/plms/s2-45.1.328
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Additional Information
  • © Copyright 1954 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 76 (1954), 149-176
  • MSC: Primary 27.2X
  • DOI: https://doi.org/10.1090/S0002-9947-1954-0060002-0
  • MathSciNet review: 0060002