On the convergence of multiple Fourier series

Fefferman, Charles

doi:10.1090/S0002-9904-1971-12793-3

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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On the convergence of multiple Fourier series
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Bull. Amer. Math. Soc. 77 (1971), 744-745

References

Lennart Carleson, On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135–157. MR 199631, DOI 10.1007/BF02392815
Charles Fefferman, On the divergence of multiple Fourier series, Bull. Amer. Math. Soc. 77 (1971), 191–195. MR 279529, DOI 10.1090/S0002-9904-1971-12675-7
Richard A. Hunt, On the convergence of Fourier series, Orthogonal Expansions and their Continuous Analogues (Proc. Conf., Edwardsville, Ill., 1967) Southern Illinois Univ. Press, Carbondale, Ill., 1968, pp. 235–255. MR 0238019
Per Sjölin, Convergence almost everywhere of certain singular integrals and multiple Fourier series, Ark. Mat. 9 (1971), 65–90. MR 336222, DOI 10.1007/BF02383638
N. R. Tevzadze, The convergence of the double Fourier series at a square summable function, Sakharth. SSR Mecn. Akad. Moambe 58 (1970), 277–279 (Russian, with Georgian and English summaries). MR 0298338