We prove an exponential integral estimate for the quadratic partial sums of multiple Fourier series on large sets that implies some new properties of Fourier series.
Sufficient conditions for convergence of multiple Fourier series with $J_k$-lacunary sequence of rectangular partial sums in terms of Weyl multipliers
Rectangular summation of multiple Fourier series and multi-parametric capacity
Approximation of functions of several variables by linear methods in the space $S^p$
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