Pointwise convergence of double Fourier integrals of functions of bounded variation over \(\mathbb R^2\)

DOI10.1016/J.JMAA.2014.12.007zbMath1321.42020OpenAlexW1976215892MaRDI QIDQ482782

Ferenc Móricz

Publication date: 6 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.12.007

zbMATH Keywords

functions of bounded variationdouble Fourier integralsimproper Riemann-Stieltjes integralpointwise regular convergence

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (5)

Uniform convergence of sine integral-series ⋮ Uniform convergence of double sine transforms of general monotone functions ⋮ The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy-Krause variation ⋮ On the order of magnitude of Walsh-Fourier transform ⋮ On the convergence of block Fourier series of functions of bounded variation in two variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pointwise behavior of Fourier integrals of functions of bounded variation over \(\mathbb R\)
• On Definitions of Bounded Variation for Functions of Two Variables
• On the convergence of double integrals and a generalized version of Fubini's theorem on successive integration

This page was built for publication: Pointwise convergence of double Fourier integrals of functions of bounded variation over \(\mathbb R^2\)