Measurable functions and spherical summability of multiple Fourier series
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- by Roger Cooke PDF
- Trans. Amer. Math. Soc. 134 (1968), 305-313 Request permission
References
- N. K. Bari, On primitive functions and trigonometric series converging almost everywhere, Mat. Sbornik N.S. 31(73) (1952), 687–702 (Russian). MR 0054074 S. Bochner, Summation of derived Fourier series, Ann. of Math. 37 (1936). N. N. Lusin, “The integral and the trigonometric series,” Dissertation, 1915, in Collected Works of N. N. Lusin, Moscow, 1953. (Russian)
- D. Menchoff, Sur la convergence uniforme des séries de Fourier, Rec. Math. [Mat. Sbornik] N. S. 11(53) (1942), 67–96 (French., with Russian summary). MR 0012685
- Stanisław Saks, Theory of the integral, Second revised edition, Dover Publications, Inc., New York, 1964. English translation by L. C. Young; With two additional notes by Stefan Banach. MR 0167578
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 134 (1968), 305-313
- MSC: Primary 42.40
- DOI: https://doi.org/10.1090/S0002-9947-1968-0228929-4
- MathSciNet review: 0228929