A new sufficient condition for belonging to the algebra of absolutely convergent Fourier integrals and its application to the problems of summability of double Fourier series

DOI10.1007/s11253-016-1147-zzbMath1380.42009OpenAlexW2298543635MaRDI QIDQ1688164

Ol'ga V. Kotova, Roald M. Trigub

Publication date: 5 January 2018

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1147-z

zbMATH Keywords

absolutely convergent double Fourier integralsMarcinkiewicz-Riesz method

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (1)

Approximative properties of the summation methods of Fourier integrals

Cites Work

• The Wiener algebra of absolutely convergent Fourier integrals: an overview
• Exact estimates of the rate of approximation of convolution operators
• Some Tauberian theorems with applications to approximation theory
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