Capacity of Sets and Fourier Series

DOI10.2307/1990311zbMath0060.18511OpenAlexW4229991257MaRDI QIDQ5835548

Raphaël Salem, Antoni Zygmund

Publication date: 1946

Full work available at URL: https://doi.org/10.2307/1990311

zbMATH Keywords

approximation and series expansion

Related Items

A converse to a theorem of Salem and Zygmund, On the capacity of sets of divergence associated with the spherical partial integral operator, Characterization of certain classes of functions, On Walsh-Fourier series, Zur Charakterisierung von Saturationsklassen in der Theorie der Fourierreihen, Théorèmes étoilés de Gross et leurs applications, On summabilities of double Fourier series, Absolute summability of some series related to a fourier series, On the dimension of divergence sets of dispersive equations, Cyclic Vectors in the Dirichlet Space, ON THE MEAN CONVERGENCE OF MULTIPLE FOURIER SERIES AND THE ASYMPTOTICS OF THE DIRICHLET KERNEL OF SPHERICAL MEANS, Rectangular summation of multiple Fourier series and multi-parametric capacity, The capacity of sets of divergence of certain Taylor series on the unit circle, Boundary behaviour and Taylor coefficients of Besov functions, Sur l'ordre de l'approximation d'une fonction par son intégrale de Poisson, The Stone-Weierstrass theorem in certain Banach algebras of Fourier type, Laplace Series and Sets of Logarithmic Capacity Zero, Imbedding theorems for spaces of hypersingular integrals and Bessel potentials, Zur Frage der Saturationsklassen singulärer Integraloperatoren, On the L\(_2\)-continuity moduli of functions, Fourier expansions of functions with bounded variation of several variables, A Theorem about Fractional Integrals

Cites Work

• Unnamed Item
• Unnamed Item
• Ensembles exceptionnels
• Smooth functions
• On a theorem of Zygmund
• The Approximation by Partial Sums of Fourier Series