Some sufficient conditions for uniform convergence of Fourier series

DOI10.1016/0022-247X(87)90046-1zbMath0639.42002MaRDI QIDQ1100376

John J. F. Fournier, William M. Self

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Besov spaceuniform convergenceFourier seriesFigà-Talamanca space

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

On integrability and \(L^{1}\)-convergence differentiated trigonometric series. ⋮ Generalized Lipschitz Spaces on Vilenkin Groups ⋮ Multipliers of Fourier transforms and series on \(L^ 1\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiplier transformations of weak type
• Some applications of Grothendieck's theory of topological tensor products in harmonic analysis
• On \(L^p,L^q\) multipliers of Fourier transforms
• Generalized Lipschitz Spaces on Vilenkin Groups
• Weak Restricted and Very Restricted Operators on L 2
• $L^{p}$-behaviour of the integral means of analytic functions
• On the Integrability of Complex Trigonometric Series
• Bernstein's theorem for compact, connected Lie groups
• Mean Oscillation and Besov Spaces
• Maximal Subspaces of Besov Spaces Invariant Under Multiplication by Characters
• Lipschitz functions and convolution
• Inclusions and Noninclusion of Spaces of Convolution Operators
• The L p Modulus of Continuity and Fourier Series of Lipschitz Functions
• Multipliers of 𝑝-integrable functions
• On Multipliers of p-Integrable Functions
• A class of trigonometric series

This page was built for publication: Some sufficient conditions for uniform convergence of Fourier series