Hardy-Sobolev spaces decomposition in signal analysis

DOI10.1007/s00041-010-9132-7zbMath1211.30061OpenAlexW1963547093MaRDI QIDQ628710

Pei Dang, Tao Qian, Zhong You

Publication date: 14 March 2011

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

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.712.556

zbMATH Keywords

Sobolev spaceHardy spaceHilbert transformuncertainty principleHardy-Sobolev spaceamplitude-phase representation of signals

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Conjugate functions, conjugate series, singular integrals (42A50) Hardy spaces (30H10)

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Cites Work

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• Hardy space of exact forms on $\mathbb {R}^N$
• Intrinsic mono-component decomposition of functions: An advance of Fourier theory
• Boundary derivatives of the phases of inner and outer functions and applications
• Weakly Differentiable Functions
• The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
• Mono‐components for decomposition of signals
• Bounded Analytic Functions

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