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On the convergence of multiple Fourier series


Author: Charles Fefferman
Journal: Bull. Amer. Math. Soc. 77 (1971), 744-745
MSC (1970): Primary 4211, 4240
DOI: https://doi.org/10.1090/S0002-9904-1971-12793-3
Cited work: Bull. Amer. Math. Soc., Volume 77, Number 2 (1971), 191--195
MathSciNet review: 0435724
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References [Enhancements On Off] (What's this?)

  • 1. L. Carleson, On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135-157. MR 33 #7774. MR 199631
  • 2. C. Fefferman, On the divergence of multiple Fourier series, Bull. Amer. Math. Soc. 77 (1971), 191-195. MR 279529
  • 3. R. A. Hunt, On the convergence of Fourier series, Proc. Conf. on Orthogonal Expansions and their Continuous Analogues (Edwardsville, Ill., 1967), Southern Illinois Univ. Press, Carbondale, Ill., 1968, pp. 235-255. MR 38 #6296. MR 238019
  • 4. P. Sjölin, On the convergence almost everywhere of certain singular integrals and multiple Fourier series, Ark. Mat. 9 (1971) (to appear). MR 336222
  • 5. N. Tevzadze, On the convergence of double Fourier series of quadratic summable functions, Soobšč. Akad. Nauk Gruzin. SSR 1970, 277-279. MR 298338

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DOI: https://doi.org/10.1090/S0002-9904-1971-12793-3

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