Mean convergence of Walsh Fourier series

DOI10.2748/tmj/1178243704zbMath0146.08901OpenAlexW2032346445MaRDI QIDQ2524115

Chinami Watari

Publication date: 1964

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178243704

zbMATH Keywords

approximation and series expansion

Related Items

On almost everywhere convergence of Walsh-Fourier series, Weakly lacunary Walsh series, On Hardy and Bellman transforms of series with respect to multiplicative systems in symmetric spaces, Double universal Fourier series, Functions, universal with respect to the classical systems, Weak type estimate for the partial sums of Noncommutative Vilenkin-Fourier series, On the uniform convergence of spherical partial sums of Fourier series by the double Walsh system, Functions universal with respect to the Walsh system, Verallgemeinerte Walsh—Fourierreihen. II, The computational efficiency of a spectral Walsh function method, A priori error estimates for Corrington's Walsh function method, Strong summability of Walsh Fourier series, On decomposition of Walsh Fourier series, An inequality of Paley and convergence a.e. of Walsh-Fourier series, Walsh-Fourier series and their generalizations in Orlicz spaces, Series with respect to the Walsh system and their generalizations, A pseudospectral Walsh function method

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• On a lemma of Marcinkiewicz and its applications to Fourier series
• An extension of the interpolation theorem of Marcinkiewicz. II
• A Remarkable Series of Orthogonal Functions (II)
• On the Walsh Functions