On the convergence of multiple Fourier series

On the convergence of multiple Fourier series
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by Charles Fefferman PDF

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