Fourier transform versus Hilbert transform

DOI10.1007/s10958-012-1048-0zbMath1267.42005OpenAlexW2046805212MaRDI QIDQ1948542

Elijah Liflyand

Publication date: 24 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1048-0

zbMATH Keywords

Fourier transformHardy spaceintegrabilityHilbert transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (5)

Integrability spaces for the Fourier transform of a function of bounded variation ⋮ Asymptotic Behavior of the Fourier Transform of a Function of Bounded Variation ⋮ On Fourier re-expansions ⋮ Asymptotics of the Fourier sine transform of a function of bounded variation ⋮ The Fourier transform of a function of bounded variation: symmetry and asymmetry

Cites Work

• Weighted Paley-Wiener theorem on the Hilbert transform
• The convolution algebra \(H^{1}(R)\)
• A generalization of the Euler-Maclaurin formula
• On asymptotics of Fourier transform for functions of certain classes
• The Fourier Transforms of General Monotone Functions
• A concept of general monotonicity and applications
• Integrability theorems for trigonometric series
• Notes on the Theory and Application of Fourier Transforms. I-II
• ON A PROBLEM OF ZYGMUND
• A note on Hilbert’s operator
• Hardy spaces generated by an integrability condition
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