Über Konvergenzmengen von Fourierreihen

DOI10.1007/BF01899414zbMath0065.05404OpenAlexW2087445589MaRDI QIDQ2653695

K. L. Zeller

Publication date: 1955

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01899414

zbMATH Keywords

approximation and series expansion

Related Items (13)

On unbounded divergence sets of series in orthonormal bases ⋮ Menshov-type theorem for divergence sets of sequences of localized operators ⋮ On characterization of extremal sets of differentiation of integrals in \(\mathbb{R}^2\) ⋮ On complete characterization of divergence sets of Fourier-Haar series ⋮ A remarkable divergent Fourier series ⋮ Some results on Kronecker, Dirichlet and Helson sets. II ⋮ On the existence of functions from \(L_ p\), p\(\geq 1\), whose Fourier series converge to zero on a prescribed set and diverge unboundedly outside it ⋮ Unbounded divergence of Fourier series of continuous functions ⋮ The L-characteristics of linear operators on \(L^{1/\alpha}([0,1)\)] ⋮ Absolute and conditional convergence of series of continuous functions ⋮ On the structure of divergence sets of Fourier-Walsh series ⋮ divergence of Fourier series in the general Haar system ⋮ On sets of divergence of series with respect to some orthogonal systems of functions

Cites Work

• Unnamed Item
• Sets of convergence of Taylor series. I
• Sets of convergence of Taylor series. II
• \(FK\)-Räume in der Funktionentheorie. I
• Sets of convergence of ordinary Dirichlet series
• An example in Fourier series
• A Fourier series which belongs to the class $H$ diverges almost everywhere

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