The Bedrosian identity for \(\mathbf H^p\) functions

DOI10.1016/j.jmaa.2008.05.005zbMath1257.42027OpenAlexW2082488436MaRDI QIDQ932373

Lihua Yang, Haizhang Zhang

Publication date: 10 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.005

zbMATH Keywords

Sobolev spaceHilbert transformBedrosian theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (15)

New aspects of Beurling-Lax shift invariant subspaces ⋮ Existence of the Bedrosian identity for Fourier multiplier operators ⋮ Best two‐parameter rational approximation algorithm of given order: a variation of adaptive Fourier decomposition ⋮ On the Hilbert transform of bounded bandlimited signals ⋮ The structure of bandlimited BMO-functions and applications ⋮ Rational orthogonal bases satisfying the Bedrosian identity ⋮ Multidimensional analytic signals and the Bedrosian identity ⋮ Vakman's analysis inL²(ℝ) ⋮ Constructions of \(\epsilon\)-mono-components and mathematical analysis on signal decomposition algorithm ⋮ Optimal approximation by Blaschke forms ⋮ Adaptive decomposition by weighted inner functions: a generalization of Fourier series ⋮ Characterization of the peak value behavior of the Hilbert transform of bounded bandlimited signals ⋮ The circular Bedrosian identity for translation-invariant operators: existence and characterization ⋮ The Bedrosian identity for \(L^p\) function and the Hardy space on tube ⋮ Approximation of functions by higher order Szegö kernels I. Complex variable cases

Cites Work

• Orthonormal bases with nonlinear phases
• Analytic unit quadrature signals with nonlinear phase
• Necessary and sufficient conditions for the Bedrosian identity
• The Bedrosian identity and homogeneous semi-convolution equations
• Characterizing the Hilbert transform by the Bedrosian theorem
• Supports dans la transformation de Laplace
• Fourier spectrum characterization of Hardy spaces and applications
• The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
• The Bedrosian identity for the Hilbert transform of product functions
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