scientific article; zbMATH DE number 2144538
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Publication:4656811
zbMath1083.42025MaRDI QIDQ4656811
Marcin Bownik, Ziemowit Rzeszotnik
Publication date: 14 March 2005
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
dimension functionspectral functionorthogonal projectionrange functionshift-invariant spaces on general lattice
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Approximation by other special function classes (41A30)
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System bandwidth and the existence of generalized shift-invariant frames ⋮ Unnamed Item ⋮ Explicit constructions and properties of generalized shift-invariant systems in \(L^{2}(\mathbb {R})\) ⋮ Some equivalent multiresolution conditions on locally compact Abelian groups ⋮ The structure of translation-invariant spaces on locally compact abelian groups ⋮ The solution of a problem of Coifman, Meyer, and Wickerhauser on wavelet packets ⋮ A Measurable Selector in Kadison’s Carpenter’s Theorem ⋮ Parseval frames built up from generalized shift-invariant systems ⋮ Affine and quasi-affine frames for rational dilations ⋮ The structure of shift invariant spaces on a locally compact abelian group ⋮ Dimension functions of rationally dilated GMRAs and wavelets ⋮ Reproducing formulas for generalized translation invariant systems on locally compact abelian groups ⋮ On the local integrability condition for generalised translation-invariant systems
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