Titlebook: Lebesgue Points and Summability of Higher Dimensional Fourier Series; Ferenc Weisz Book 2021 The Editor(s) (if applicable) and The Author(

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https://doi.org/10.1007/978-3-030-74636-0Fourier series; Fourier transforms higher dimensions; Cesaro summability; Lebesgue points; Fejer summabi

excrete

One-Dimensional Fourier Series,the . spaces and prove some basic inequalities. In Sect.?., we prove that the partial sums of the Fourier series are uniformly bounded on the . spaces when .. As a consequence, we obtain the norm convergence of the partial sums.

佛刊

-Summability of Higher Dimensional Fourier Series,nsional Fourier series and the corresponding Dirichlet kernels, i.e., the cubic, triangular, circular and rectangular partial sums and Dirichlet kernels. We show that the cubic, triangular and rectangular partial sums converge in the .-norm to the function .. The multi-dimensional version of Carleson’s theorem is also considered.

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978-3-030-74638-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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