Interaction between the Fourier transform and the Hilbert transform

DOI10.12697/ACUTM.2014.18.03zbMath1305.42002MaRDI QIDQ2875915

Elijah Liflyand

Publication date: 12 August 2014

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

Fourier transformatomic decompositionHilbert transformHardy's inequalityreal Hardy space

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (H^p)-spaces (42B30) Monotonic functions, generalizations (26A48) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (5)

Integrability spaces for 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 ⋮ Real Hardy space, multidimensional variations, and integrability of the Fourier transform

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