Greedy approximation with respect to certain subsystems of the Walsh orthonormal system

DOI10.1090/S0002-9939-06-08720-XzbMath1112.42014OpenAlexW1544993007MaRDI QIDQ3419932

Robert E. Zink, Martin G. Grigoryan

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08720-x

Mathematics Subject Classification ID

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

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Cites Work

• On the convergence of Fourier series in the metric of \(L^ 1\)
• Greedy algorithm and \(m\)-term trigonometric approximation
• Decreasing rearranged Fourier series
• Subsystems of the Walsh orthogonal system whose multiplicative completions are quasibases for $L^\{p\}[0,1$, $1\leq p < +\infty $]
• A Density Theorem for Walsh Functions