Two theorems concerning convergence of Fourier series
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- by Shin-ichi Izumi PDF
- Proc. Amer. Math. Soc. 10 (1959), 744-754 Request permission
Erratum: Proc. Amer. Math. Soc. 11 (1960), 999-1000.
References
- Einar Hille and George Klein, Riemann’s localization theorem for Fourier series, Duke Math. J. 21 (1954), 587–591. MR 64183
- Shin-ichi Izumi, Some trigonometrical series. XIV, Proc. Japan Acad. 31 (1955), 324–326. MR 76909 —, Notes on Fourier analysis (XXVI): Negative examples in the theory of Fourier series, Tôhoku Math. J. vol. 1 (1950).
- M. E. Noble, On a convergence criterion of Hardy and Littlewood, Quart. J. Math. Oxford Ser. (2) 9 (1958), 28–39. MR 102696, DOI 10.1093/qmath/9.1.28 A. Zygmund, Trigonometrical series, Warsaw, 1936.
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 744-754
- MSC: Primary 42.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0108679-5
- MathSciNet review: 0108679