Add to ORKGDedicated to my friend Misha Birman with love and gratitude Abstract. Several almost optimal results are obtained about N-term nonlinear approximation by dilated integer translates of a refinable function associated with a finite mask and a rather general matrix dilation A ∈ GLn(Z). Approximation by nonlinear finite parametric manifolds has turned out to be very important in several areas of analysis. It plays a crucial role, for example, in approximation by rational functions and by splines with free knots in approximation theory; asymptotics of eigenvalues in operator theory; K-divisibility and related topics in interpolation spac
AbstractWe study the optimal approximation of the solution of an operator equation A(u)=f by certain...
Approximation properties of the dilations of the integer translates of a smooth function, with some ...
AbstractWe study nonlinear approximation in Lp(Rd)(0<p<∞,d>1) from (a) n-term rational functions, an...
AbstractWe study nonlinear approximation in Lp(R2),0<p<∞, from n-term rational functions. Our main r...
A major pillar of approximation theory in establishing the ability of one class of functions to be r...
We study nonlinear $n$-term approximation in $L_p({mathbb R}^2)$ ($0<pleinfty$) from hierarchical se...
AbstractWe study nonlinear n-term approximation in Lp(R2) (0<p<∞) from Courant elements or (disconti...
AbstractWe estimate the Lp(Rd)-approximation rate (1≤p≤∞) provided dilates of an orthogonal projecti...
: It is shown that under weak assumptions nonlinear L 2 --approximation problems generally have unbo...
Approximation theory studies the process of approaching arbitrary functions by simple func-tions dep...
We study nonlinear approximation in Lp(R d) (0 < p < ∞, d> 1) from (a) n-term rational func...
AbstractWe investigate optimal non-linear approximations of multivariate periodic functions with mix...
Abstract. This paper is a survey which also contains some new results on the nonlinear approximation...
AbstractIn the present paper we investigate optimal continuous algorithms in n-term approximation ba...
The book incorporates research papers and surveys written by participants ofan International Scienti...
AbstractWe study the optimal approximation of the solution of an operator equation A(u)=f by certain...
Approximation properties of the dilations of the integer translates of a smooth function, with some ...
AbstractWe study nonlinear approximation in Lp(Rd)(0<p<∞,d>1) from (a) n-term rational functions, an...
AbstractWe study nonlinear approximation in Lp(R2),0<p<∞, from n-term rational functions. Our main r...
A major pillar of approximation theory in establishing the ability of one class of functions to be r...
We study nonlinear $n$-term approximation in $L_p({mathbb R}^2)$ ($0<pleinfty$) from hierarchical se...
AbstractWe study nonlinear n-term approximation in Lp(R2) (0<p<∞) from Courant elements or (disconti...
AbstractWe estimate the Lp(Rd)-approximation rate (1≤p≤∞) provided dilates of an orthogonal projecti...
: It is shown that under weak assumptions nonlinear L 2 --approximation problems generally have unbo...
Approximation theory studies the process of approaching arbitrary functions by simple func-tions dep...
We study nonlinear approximation in Lp(R d) (0 < p < ∞, d> 1) from (a) n-term rational func...
AbstractWe investigate optimal non-linear approximations of multivariate periodic functions with mix...
Abstract. This paper is a survey which also contains some new results on the nonlinear approximation...
AbstractIn the present paper we investigate optimal continuous algorithms in n-term approximation ba...
The book incorporates research papers and surveys written by participants ofan International Scienti...
AbstractWe study the optimal approximation of the solution of an operator equation A(u)=f by certain...
Approximation properties of the dilations of the integer translates of a smooth function, with some ...
AbstractWe study nonlinear approximation in Lp(Rd)(0<p<∞,d>1) from (a) n-term rational functions, an...