An analogue of a theorem of Ferenc Lukács for double Walsh-Fourier series

DOI10.1023/A:1015653309520zbMath1006.42024OpenAlexW1898379357MaRDI QIDQ1857401

Ferenc Móricz, William R. Wade

Publication date: 18 February 2003

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015653309520

zbMATH Keywords

Walsh-Paley systemrectangular partial sumWalsh seriesdiscontinuity of first kindbounded variation over a rectangle in the sense of Hardy and Krauseconjugate Walsh seriessector limits of a function of two variables

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (3)

Determination of jumps in terms of linear operators ⋮ On some properties of double conjugate trigonometric Fourier series ⋮ On the rate of convergence of Fourier series of functions of bounded variation in two variables

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