IRREGULAR SAMPLING IN SHIFT INVARIANT SPACES OF HIGHER DIMENSIONS

DOI10.1142/S0219691308002264zbMath1210.94074MaRDI QIDQ5386731

Stefan Ericsson

Publication date: 14 May 2008

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Spline approximation (41A15) Sampling theory in information and communication theory (94A20)

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MULTI-CHANNEL SAMPLING ON SHIFT-INVARIANT SPACES WITH FRAME GENERATORS ⋮ Generalized sampling in shift invariant spaces with frames ⋮ Using a natural deconvolution for analysis of perturbed integer sampling in shift-invariant spaces ⋮ On relating interpolatory wavelets to interpolatory scaling functions in multiresolution analyses ⋮ Interpolatory filter banks and interpolatory wavelet packets ⋮ THE CONSTRUCTION OF A CLASS OF TRIVARIATE NONSEPARABLE COMPACTLY SUPPORTED WAVELETS

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