References
I. L. Bloshanskii, “Maximum sets of convergence and unbounded divergence of multiple Fourier series of functions in L 1, equal to zero on a prescribed set,” Dokl. Akad. Nauk SSSR 283(5), 1040–1044 (1985).
I. L. Bloshanskii, Some Problems of Multidimensional Harmonic Analysis, Doctoral Dissertation in Mathematical Physics (Steklov Institute of Mathematics, Moscow, 1991) [in Russian].
I. L. Bloshanskii and O. V. Lifantseva, “A weak generalized localization criterion for multiple Fourier series whose rectangular partial sums are considered over a subsequence,” Dokl. Ross. Akad. Nauk 423(4), 439–442 (2008).
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Original Russian Text © I. L. Bloshanskii, O. V. Lifantseva, 2009, published in Matematicheskie Zametki, 2009, Vol. 86, No. 6, pp. 938–941.
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Bloshanskii, I.L., Lifantseva, O.V. Maximal sets of convergence and unbounded divergence of multiple fourier series with J κ -lacunary sequence of partial sums. Math Notes 86, 883–886 (2009). https://doi.org/10.1134/S0001434609110315
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DOI: https://doi.org/10.1134/S0001434609110315