Walsh-Lebesgue points of multi-dimensional functions

DOI10.1007/s10476-008-0404-2zbMath1199.42131OpenAlexW1549352028MaRDI QIDQ1046735

Ferenc Weisz

Publication date: 28 December 2009

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-008-0404-2

zbMATH Keywords

higher dimensionWalsh-Lebesgue points

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)

Related Items (1)

Pointwise convergence of Marcinkiewicz-Fejér means of double Vilenkin-Fourier series

Cites Work

• Divergence of the \((C,1)\) means of \(d\)-dimensional Walsh-Fourier series
• \(\theta\)-summability of Fourier series
• \(L^\infty\) system approximation algorithms generated by \(\varphi\) summations
• Martingale Hardy spaces and their applications in Fourier analysis
• On the divergence of the $(C,1)$ means of double Walsh-Fourier series
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
• On the divergence of multiple Fourier series
• On the convergence of multiple Fourier series
• Walsh-fourier series and the concept of a derivative^†
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES
• On the summability of trigonometric interpolation processes
• On uniform convergence of sequences of certain linear operators
• Cesàro summability of two-parameter Walsh-Fourier series
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