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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Measurable functions and spherical summability of multiple Fourier series

Author: Roger Cooke
Journal: Trans. Amer. Math. Soc. 134 (1968), 305-313
MSC: Primary 42.40
MathSciNet review: 0228929
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  • [1] N. K. Bari, On primitive functions and trigonometric series converging almost everywhere, Mat. Sbornik N.S. 31(73) (1952), 687–702 (Russian). MR 0054074
  • [2] S. Bochner, Summation of derived Fourier series, Ann. of Math. 37 (1936).
  • [3] N. N. Lusin, ``The integral and the trigonometric series,'' Dissertation, 1915, in Collected Works of N. N. Lusin, Moscow, 1953. (Russian)
  • [4] 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
  • [5] Stanisław Saks, Theory of the integral, Second revised edition. English translation by L. C. Young. With two additional notes by Stefan Banach, Dover Publications, Inc., New York, 1964. MR 0167578

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Article copyright: © Copyright 1968 American Mathematical Society