On the density order of the principal shift-invariant subspaces of \(L^2(\mathbb R^d)\)

DOI10.1016/J.JAT.2012.04.003zbMath1257.46014OpenAlexW1986235725MaRDI QIDQ452063

Angel San Antolin

Publication date: 19 September 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.04.003

zbMATH Keywords

Fourier transformframeapproximation orderapproximate continuitydensity orderexpansive linear map

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items (5)

Density order of Parseval wavelet frames from extension principles ⋮ On the density condition of a multiresolution analysis in Lebesgue spaces ⋮ Closure of dilates of shift-invariant subspaces ⋮ On approximation properties of matrix-valued multi-resolution analyses ⋮ Anisotropic dilations of shift-invariant subspaces and approximation properties in L2(Rd)

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