On the partial sums of Fourier series at points of discontinuity
Author:
Otto Szász
Journal:
Trans. Amer. Math. Soc. 53 (1943), 440-453
MSC:
Primary 42.4X
DOI:
https://doi.org/10.1090/S0002-9947-1943-0008099-0
MathSciNet review:
0008099
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References | Similar Articles | Additional Information
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W. Rogosinski, Ueber den Einfluss einseitiger Eigenschaften einer Funktion auf ihre Fourierreihe, Schriften der Koenigsberger Gelehrten Gesellschaft Naturwissenschaftliche Klasse vol. 3 (1926) pp. 57-98.
---, Abschnittsverhalten bei trigonometrischen und insbesondere Fourier schen Reihen, Math. Zeit. vol. 41 (1936) pp. 75-136.
- Otto Szász, Convergence properties of Fourier series, Trans. Amer. Math. Soc. 37 (1935), no. 3, 483–500. MR 1501799, DOI https://doi.org/10.1090/S0002-9947-1935-1501799-8
- Otto Szász, The jump of a function determined by its Fourier coefficients, Duke Math. J. 4 (1938), no. 2, 401–407. MR 1546061, DOI https://doi.org/10.1215/S0012-7094-38-00432-6 A. Zygmund, Trigonometrical series, 1935.
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Article copyright:
© Copyright 1943
American Mathematical Society
