On the convergence of double Fourier integrals of functions of bounded variation on ℝ2

DOI10.1556/012.2016.53.3.1336zbMath1399.26017OpenAlexW2507126665MaRDI QIDQ4605538

V. Fülöp, Bhikha Lila Ghodadra

Publication date: 22 February 2018

Published in: Studia Scientiarum Mathematicarum Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1556/012.2016.53.3.1336

zbMATH Keywords

uniform convergencepointwise convergenceDirichlet integralimproper Riemann-Stieltjes integraldouble Fourier integralbounded variation over \(\mathbb{R}^2\)

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Harmonic analysis in several variables (42B99) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45)

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The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy-Krause variation

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