On the divergence of the two-dimensional dyadic difference of dyadic integrals

DOI10.1006/jath.2001.3665zbMath0999.42016OpenAlexW2007225505MaRDI QIDQ696870

György Gát

Publication date: 12 September 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2001.3665

zbMATH Keywords

Rademacher functionsconvergence in Pringsheim's sensedyadic differencedyadic integralsWalsh-Paley functions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

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• On limits of sequences of operators
• On the two-dimensional pointwise dyadic calculus
• A fundamental theorem of dyadic calculus for the unit square
• Dyadic calculus and sampling theorems for functions with multidimensional domain I. General theory
• Fourier Analysis on Local Fields. (MN-15)
• Walsh-fourier series and the concept of a derivative^†
• On the strong derivatives of functions of intervals
• On the Walsh Functions

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