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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the summability of Fourier series. I


Authors: Einar Hille and J. D. Tamarkin
Journal: Trans. Amer. Math. Soc. 34 (1932), 757-783
MSC: Primary 42A24
MathSciNet review: 1501662
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  • [1] Griffith C. Evans, Complements of Potential Theory, Amer. J. Math. 54 (1932), no. 2, 213–234. MR 1506886, http://dx.doi.org/10.2307/2370985
  • [2] G. H. Hardy, Theorems relating to the summability and convergence of slowly oscillating series, Proceedings of the London Mathematical Society, (2), vol. 8 (1910), pp. 301-320.
  • [3] G. H. Hardy, The summability of a Fourier series by logarithmic means, Quarterly Journal of Mathematics (Oxford series), vol. 2 (1931), pp. 107-112.
  • [4] E. Hille and J. D. Tamarkin, On the summability of Fourier series, Proceedings of the National Academy of Sciences, vol. 14 (1928), pp. 915-918.
  • [5] David Sherman Morse, Relative Inclusiveness of Certain Definitions of Summability, Amer. J. Math. 45 (1923), no. 4, 259–285. MR 1506508, http://dx.doi.org/10.2307/2370574
  • [6] N. E. Nörlund, Sur une application des fonctions permutables, Lunds Universitets Årsskrift, (N.F.), avd. 2, 16, No. 3 (1920); 10 pp.
  • [7] M. Riesz, Sur l'équivalence de certaines méthodes de sommation, Proceedings of the London Mathematical Society, (2), vol. 22 (1924), pp. 412-419.
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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1932-1501662-X
PII: S 0002-9947(1932)1501662-X
Article copyright: © Copyright 1932 American Mathematical Society