
doi: 10.1007/bf01818031
Questions of convergence almost everywhere of expansions into a multiple trigonometric Fourier series or a Fourier integral are studied for functions from Lp, p≥1, with summation over rectangles. Moreover, a “generalized localization principle,” understood in the sense of convergence almost everywhere, is considered in the paper.
Fourier series and coefficients in several variables, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Convergence and absolute convergence of Fourier and trigonometric series
Fourier series and coefficients in several variables, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Convergence and absolute convergence of Fourier and trigonometric series
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