Explicit constructions and properties of generalized shift-invariant systems in \(L^{2}(\mathbb {R})\)

DOI10.1007/s10444-016-9492-xzbMath1376.42041arXiv1610.04067OpenAlexW2532269685MaRDI QIDQ2400488

Ole Christensen, Jakob Lemvig, Marzieh Hasannasab

Publication date: 1 September 2017

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04067

zbMATH Keywords

waveletsLICdual frameswave packetsframeGabor systemlocal integrability conditiongeneralized shift invariant system

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Other transforms and operators of Fourier type (43A32) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (7)

System bandwidth and the existence of generalized shift-invariant frames ⋮ Calderón-type inequalities for affine frames ⋮ On matrix-valued wave packet frames in \(L^2(\mathbb{R}^d, \mathbb{C}^{s\times r})\) ⋮ Design and properties of wave packet smoothness spaces ⋮ A class of warped filter bank frames tailored to non-linear frequency scales ⋮ On the local integrability condition for generalised translation-invariant systems ⋮ Invertibility of frame operators on Besov-type decomposition spaces

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