Hardy-Sobolev spaces decomposition in signal analysis
type: Item
instance of: scholarly article
title: Hardy-Sobolev spaces decomposition in signal analysis
zbMATH Open document ID: 1211.30061
author: Pei Dang
author: Tao Qian
author: Zhong You
published in: The Journal of Fourier Analysis and Applications
publication date: 2011-03-14T00:00:00Z
full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary
Mathematics Subject Classification ID: 30H10
Mathematics Subject Classification ID: 42A50
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 5865300
zbMATH Keywords: uncertainty principle
zbMATH Keywords: Hilbert transform
zbMATH Keywords: Hardy space
zbMATH Keywords: Sobolev space
zbMATH Keywords: Hardy-Sobolev space
zbMATH Keywords: amplitude-phase representation of signals
MaRDI profile type: Publication
OpenAlex ID: W1963547093
cites work: Orthonormal basis functions for modelling continuous-time systems
cites work: Hardy Sobolev spaces on strongly Lipschitz domains of \(\mathbb R^n\)
cites work: Bounded Analytic Functions
cites work: The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
cites work: Hardy space of exact forms on $\mathbb {R}^N$
cites work: Q3993068
cites work: Q3328350
cites work: Mono‐components for decomposition of signals
cites work: Boundary derivatives of the phases of inner and outer functions and applications
cites work: Intrinsic mono-component decomposition of functions: An advance of Fourier theory
cites work: Q5516901
cites work: Analysis of the intrinsic mode functions
cites work: Q5607484
cites work: Weakly Differentiable Functions
DOI: 10.1007/S00041-010-9132-7
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description: scientific article; zbMATH DE number 5865300