On Riesz summability of Fourier series
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References
-
G. H. Hardy, An extension of a theorem on the oscillating series, Proc. London Math. Soc. vol. 12 (1913) pp. 174-180.
G. H. Hardy and J. E. Littlewood, Notes on the theory of series (XVII): Some new convergence criteria for Fourier series, J. London Math. Soc. vol. 7 (1932) pp. 252-256.
—, Some new convergence criteria for Fourier series, Annali della Scuola Normale Superiore di Pisa vol. 3 (1934) pp. 1-20.
- G. H. Hardy and W. W. Rogosinski, Fourier series, Cambridge Tracts in Mathematics and Mathematical Physics, No. 38, Cambridge, at the University Press, 1950. 2nd ed. MR 0044660
- Fu Cheng Hsiang, On a test for the convergence of Fourier series, Proc. Amer. Math. Soc. 7 (1956), 1036–1039. MR 97673, DOI 10.1090/S0002-9939-1956-0097673-6
- W. Jurkat, Zur Konvergenztheorie der Fourier-Reihen, Math. Z. 53 (1950), 309–339 (German). MR 40461, DOI 10.1007/BF01166278
- Kôsi Kanno, On the Riesz summability of Fourier series, Tohoku Math. J. (2) 8 (1956), 223–234. MR 84625, DOI 10.2748/tmj/1178244986 W. G. Morgan, On the convergence criteria for Fourier series of Hardy and Littlewood, Annali della Scuola Normale Superiore di Pisa vol. 4 (1935) pp. 337-382.
- Gen-ichirô Sunouchi, Notes on Fourier analysis. I. On the convergence test of Fourier series, Math. Japon. 1 (1948), 41–44. MR 25599, DOI 10.1080/768371108
- F. T. Wang, On Riesz summability of Fourier series, Proc. London Math. Soc. (2) 47 (1942), 308–325. MR 6760, DOI 10.1112/plms/s2-47.1.308
- Fu Traing Wang, On Riesz summability of Fourier series. III, Proc. London Math. Soc. (2) 51 (1949), 215–231. MR 30636, DOI 10.1112/plms/s2-51.3.215
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 9 (1958), 37-44
- MSC: Primary 42.00
- DOI: https://doi.org/10.1090/S0002-9939-1958-0096070-9
- MathSciNet review: 0096070