AbstractWe investigate sufficient conditions on principal shift-invariant spacesS(φ) in order to provide prescribed approximation orders inLp(Rd), 1<p<∞. Our results are applicable even in pathological cases whereφ(0)=0 and are based on the wavelet-type decompositions of Besov spaces
The paper studies an approximate multiresolution analysis for spaces generated by smooth functions w...
AbstractFor any principal shift invariant space S(φ) generated by φ ∈ Wm2(Rs), a necessary and suffi...
AbstractWe study n-term wavelet-type approximations in Besov and Triebel–Lizorkin spaces. In particu...
AbstractWe investigate sufficient conditions on principal shift-invariant spacesS(φ) in order to pro...
AbstractFor 1⩽p⩽∞, sufficient conditions on the generators {φh}h>0are given which ensure that theh-d...
AbstractApproximation orders of shift-invariant subspaces of Lp(Rd), 2 ≤ p ≤ ∞, generated by the shi...
AbstractWe investigate the approximation orders of principal shift-invariant subspaces ofLp(Rd), 1<p...
This paper aims at providing a self-contained introduction to notions and results connected with the...
Closed shift-invariant subspaces of Hilbert space are the core idea of important classes of signal ...
Abstract: A complete characterization is given of closed shift-invariant subspaces of) , Lt( ' ...
In this thesis we investigate the connection between non-separable wavelet bases and Besov spaces. T...
The approximation order provided by a directed set fs h g h?0 of spaces, each spanned by the hZZ d...
AbstractThe work of de Boor and Fix on spline approximation by quasiinterpolants has had far-reachin...
AbstractWe give necessary and sufficient conditions on the Fourier transform of a generator function...
In this paper, we continue our research on characterizing the order of linear approximation schemes ...
The paper studies an approximate multiresolution analysis for spaces generated by smooth functions w...
AbstractFor any principal shift invariant space S(φ) generated by φ ∈ Wm2(Rs), a necessary and suffi...
AbstractWe study n-term wavelet-type approximations in Besov and Triebel–Lizorkin spaces. In particu...
AbstractWe investigate sufficient conditions on principal shift-invariant spacesS(φ) in order to pro...
AbstractFor 1⩽p⩽∞, sufficient conditions on the generators {φh}h>0are given which ensure that theh-d...
AbstractApproximation orders of shift-invariant subspaces of Lp(Rd), 2 ≤ p ≤ ∞, generated by the shi...
AbstractWe investigate the approximation orders of principal shift-invariant subspaces ofLp(Rd), 1<p...
This paper aims at providing a self-contained introduction to notions and results connected with the...
Closed shift-invariant subspaces of Hilbert space are the core idea of important classes of signal ...
Abstract: A complete characterization is given of closed shift-invariant subspaces of) , Lt( ' ...
In this thesis we investigate the connection between non-separable wavelet bases and Besov spaces. T...
The approximation order provided by a directed set fs h g h?0 of spaces, each spanned by the hZZ d...
AbstractThe work of de Boor and Fix on spline approximation by quasiinterpolants has had far-reachin...
AbstractWe give necessary and sufficient conditions on the Fourier transform of a generator function...
In this paper, we continue our research on characterizing the order of linear approximation schemes ...
The paper studies an approximate multiresolution analysis for spaces generated by smooth functions w...
AbstractFor any principal shift invariant space S(φ) generated by φ ∈ Wm2(Rs), a necessary and suffi...
AbstractWe study n-term wavelet-type approximations in Besov and Triebel–Lizorkin spaces. In particu...
DOI
Add to ORKG