Summability of multiple Fourier series. Growth of Lebesgue constants

DOI10.1007/BF01907469zbMath0471.42008MaRDI QIDQ1157500

Roald M. Trigub

Publication date: 1980

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

Lebesgue constantsestimate

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (4)

Summation of multiple Fourier series in multiplicative systems ⋮ Absolute summability of Fourier series of functions in the class \(\text{Lip}(\alpha,p)\) ⋮ Convergence of linear means of multiple Fourier series of continuous functions ⋮ Summation of Fourier-Walsh series

Cites Work

• On certain exponential sums arising in multiple Fourier series
• Period, index and potential \(\text Ш\)
• The Brauer-Manin Obstruction and III[2]
• An L 1 Extremal Problem for Polynomials
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