A unified characterization of reproducing systems generated by a finite family

From MaRDI portal
Publication:1608538

DOI10.1007/BF02922050zbMath1029.42026OpenAlexW4253920814MaRDI QIDQ1608538

Demetrio Labate

Publication date: 8 August 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02922050



Related Items

Frame expansions for Gabor multipliers, The geometry of sets of parameters of wave packet frames, Dilation-and-modulation Parseval frames in the half space, Frames associated with shift-invariant spaces on local fields, One-Dimensional Dyadic Wavelets, Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\), On partition of unities generated by entire functions and Gabor frames in \( L^2(\mathbb R^d) \) and \(\ell^2(\mathbb Z^d)\), Sufficient conditions for shift-invariant systems to be frames in \(L^2({\mathbb R^n})\), Banach frames for \(\alpha\)-modulation spaces, Dual generators for weighted irregular wavelet frames and reconstruction error, A unified characterization of reproducing systems generated by a finite family. II, Functional Gabor frame multipliers, Operators commuting with a discrete subgroup of translations, The local integrability condition for wavelet frames, A class of reproducing systems generated by a finite family in \(L^2 (\mathbb{R}_+)\), Oversampling, quasi-affine frames, and wave packets, Frame properties of wave packet systems in \(L^2({\mathbb R}^d)\), A characterization of semiorthogonal Parseval wavelets in abstract Hilbert spaces, TECHNIQUES FOR SMOOTHING AND SPLITTING IN THE CONSTRUCTION OF TIGHT FRAME GABOR WINDOWS, Connectivity in the set of Gabor frames, Translation partitions of unity, symmetry properties, and Gabor frames, Gabor neural networks with proven approximation properties, Frames associated with shift invariant spaces on positive half line, Orthogonal frames of translates, Frames of translates for model sets, Unified conditions for wavelet frames, Gabor frames for model sets, Minimal generator sets for finitely generated shift-invariant subspaces of \(L^{2}(\mathbb R^{n})\)



Cites Work