An interplay of multidimensional variations in Fourier analysis

DOI10.1007/S00041-010-9136-3zbMath1220.42008OpenAlexW1985602099MaRDI QIDQ532497

Ulrich Stadtmüller, Roald M. Trigub, Elijah Liflyand

Publication date: 5 May 2011

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

Full work available at URL: https://doi.org/10.1007/s00041-010-9136-3

zbMATH Keywords

trigonometric seriesFourier integralcomparison of valuesmultivariate bounded variation functions

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Fourier series and coefficients in several variables (42B05)

Related Items (1)

Testing exchangeability of copulas in arbitrary dimension

Cites Work

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• On asymptotics of Fourier transform for functions of certain classes
• Harmonic analysis of the space BV.
• Complementary spaces and multipliers of double Fourier series for functions of bounded variation
• On the points of regularity of multivariate functions of bounded variation
• Weakly Differentiable Functions
• On the Summability of Fourier Series. I
• On Definitions of Bounded Variation for Functions of Two Variables

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