On the strong summability of Fourier series
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- by Gen-Ichirô Sunouchi PDF
- Proc. Amer. Math. Soc. 1 (1950), 526-533 Request permission
References
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R. P. Boas, Jr., and S. Bochner, On à theorem of M. Riesz for Fourier series, J. London Math. Soc. vol. 14 (1939) pp. 62-73.
A. Kolmogoroff, Une contribution à l’étude de la convergence des séries de Fourier, Fund. Math. vol. 5 (1924) pp. 96-97.
J. E. Littlewood and R. E. A. C. Paley, Theorems on Fourier series and power series, J. London Math. Soc. vol. 6 (1931) pp. 230-233.
—, Theorems on Fourier series and power series, (2), Proc. London Math. Soc. (2) vol. 42 (1937) pp. 52-89.
- J. Marcinkiewicz and A. Zygmund, A theorem of Lusin. Part I, Duke Math. J. 4 (1938), no. 3, 473–485. MR 1546069, DOI 10.1215/S0012-7094-38-00440-5
- Gen-ichirô Sunouchi, On the strong summability of Fourier series, Proc. Imp. Acad. Tokyo 19 (1943), 420–423. MR 14157 Z. Zalcwasser, Sur la sommabilité des séries de Fourier, Studia Mathematica vol. 6 (1936) pp. 82-88. A. Zygmund, Sur la caractère de divergence des séries orthogonales, Mathematica vol. 9 (1935) pp. 86-88. —, Proof of a theorem of Paley, Proc. Cambridge Philos. Soc. vol. 34 (1938) pp. 125-133. —, On the convergence and summability of power series on the circle of convergence (1), Fund. Math. vol. 30 (1938) pp. 170-196.
Additional Information
- © Copyright 1950 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 1 (1950), 526-533
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9939-1950-0037385-2
- MathSciNet review: 0037385