ON THE MEAN CONVERGENCE OF MULTIPLE FOURIER SERIES AND THE ASYMPTOTICS OF THE DIRICHLET KERNEL OF SPHERICAL MEANS

DOI10.32523/2077-9879-2018-9-4-22-60zbMath1463.42023OpenAlexW2909604255WikidataQ128575520 ScholiaQ128575520MaRDI QIDQ5118558

K. I. Babenko

Publication date: 26 August 2020

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

Full work available at URL: http://mathnet.ru/eng/emj310

zbMATH Keywords

Fourier transformintegrabilityLebesgue constants

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15)

Related Items (2)

Lebesgue constants of Riesz type means of negative order ⋮ Riesz projection and bounded mean oscillation for Dirichlet series

Cites Work

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• Localization and summability of multiple Fourier series
• Ensembles exceptionnels
• PROBLEMS OF LOCALIZATION AND CONVERGENCE FOR FOURIER SERIES IN FUNDAMENTAL SYSTEMS OF FUNCTIONS OF THE LAPLACE OPERATOR
• Capacity of Sets and Fourier Series

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