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Hilbert transform and exponential integral estimates of rectangular sums of double Fourier series

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Publication:4334961
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DOI10.1070/SM1996V187N03ABEH000116zbMath0870.42003MaRDI QIDQ4334961

Grigori A. Karagulyan

Publication date: 24 August 1997

Published in: Sbornik: Mathematics (Search for Journal in Brave)


zbMATH Keywords

double Fourier seriesHilbert transformrectangular partial sums


Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Convergence and divergence of series and sequences (40A05) Fourier series and coefficients in several variables (42B05) Multiple sequences and series (40B05)


Related Items (3)

Estimates for the growth order of sequences of multiple rectangular Fourier sums of integrable functions ⋮ Growth estimates for arbitrary sequences of multiple rectangular Fourier sums ⋮ A note on estimates for the growth order of sequences of multiple rectangular Fourier sums







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