On the representation of functions as Fourier integrals

DOI10.1134/S0001434613030243zbMath1273.42024OpenAlexW2078286007MaRDI QIDQ351656

Yurii S. Kolomoitsev

Publication date: 8 July 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613030243

zbMATH Keywords

Fourier integral\(L_p\) space (\(0< p< 2\))Euclidean space \(\mathbb R^d\)

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99)

Cites Work

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• On the representation of a function as an absolutely convergent Fourier integral
• On convergence of families of linear polynomial operators
• Conditions for the absolute convergence of Fourier integrals
• Inequalities for strongly singular convolution operators
• On Fourier multipliers and absolute convergence of Fourier integrals of radial functions
• Multipliers in the Hardy spaces $ H_p(D^m)$ with $ p\in (0,1 \rbrack $ and approximation properties of summability methods for power series
• Special trigonometric series in 𝑘-dimensions
• On multiplier transformations

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