On the summability of Fourier series. I
Authors:
Einar Hille and J. D. Tamarkin
Journal:
Trans. Amer. Math. Soc. 34 (1932), 757783
MSC:
Primary 42A24
MathSciNet review:
1501662
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References 
Similar Articles 
Additional Information
 [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. 301320.
 [3]
G. H. Hardy, The summability of a Fourier series by logarithmic means, Quarterly Journal of Mathematics (Oxford series), vol. 2 (1931), pp. 107112.
 [4]
E. Hille and J. D. Tamarkin, On the summability of Fourier series, Proceedings of the National Academy of Sciences, vol. 14 (1928), pp. 915918.
 [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. 412419.
 [8]
G.
F. Woronoi, Extension of the notion of the limit of the sum of
terms of an infinite series, Ann. of Math. (2) 33
(1932), no. 3, 422–428. MR
1503066, http://dx.doi.org/10.2307/1968525
 [1]
 G. C. Evans, Complements of potential theory, American Journal of Mathematics, vol. 54 (1932), pp. 213234. MR 1506886
 [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. 301320.
 [3]
 G. H. Hardy, The summability of a Fourier series by logarithmic means, Quarterly Journal of Mathematics (Oxford series), vol. 2 (1931), pp. 107112.
 [4]
 E. Hille and J. D. Tamarkin, On the summability of Fourier series, Proceedings of the National Academy of Sciences, vol. 14 (1928), pp. 915918.
 [5]
 D. S. Morse, Relative inclusiveness of certain definitions of summability, American Journal of Mathematics, vol. 45 (1923), pp. 259285. MR 1506508
 [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. 412419.
 [8]
 G. F. Woronoi, Extension of the notion of the limit of the sum of terms of an infinite series (in Russian). Proceedings of the Eleventh Congress (1901) of Russian Naturalists and Physicians, St. Petersburg, 1902, pp. 6061. Annotated English translation by J. D. Tamarkin, Annals of Mathematics, (2), vol. 33 (1932), pp. 422428. MR 1503066
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002994719321501662X
PII:
S 00029947(1932)1501662X
Article copyright:
© Copyright 1932
American Mathematical Society
