We examine some recent results of Bownik on density and connectivity of the wavelet frames. We use orthogonality (strong disjointness) properties of frame and Bessel sequences, and also properties of Besselmultipliers (operators that map wavelet Bessel functions to wavelet Bessel functions). In addition we obtain an asymptotically tight approximation result for wavelet frames
Wavelet analysis and its fast algorithms are widely used in many fields of applied mathematics such ...
International audienceWe characterize the approximation spaces associated with the best $n$-term app...
International audienceWe characterize the approximation spaces associated with the best $n$-term app...
We examine some recent results of Bownik on density and connectivity of the wavelet frames. We use o...
We examine some recent results of Bownik on density and connectivity of the wavelet frames. We use o...
Abstract. We examine some recent results of Bownik on density and connectivity of the wavelet frames...
AbstractDensity conditions including necessary ones and sufficient ones for irregular wavelet system...
AbstractIt is known that wavelet frames do not exhibit a Nyquist density. Even so, this paper shows ...
AbstractWe study the approximation properties of wavelet bi-frame systems in Lp(Rd). For wavelet bi-...
It is an open problem whether any pair of Bessel sequences with wavelet structure can be extended to...
AbstractWe formulate several criteria on square-integrable functions in terms of certain smoothness ...
AbstractWe formulate several criteria on square-integrable functions in terms of certain smoothness ...
International audienceWe study the approximation properties of wavelet bi-frame systems in Lp(R^d). ...
AbstractDensity conditions for wavelet systems with arbitrary sampling points to be frames are studi...
International audienceWe study the approximation properties of wavelet bi-frame systems in Lp(R^d). ...
Wavelet analysis and its fast algorithms are widely used in many fields of applied mathematics such ...
International audienceWe characterize the approximation spaces associated with the best $n$-term app...
International audienceWe characterize the approximation spaces associated with the best $n$-term app...
We examine some recent results of Bownik on density and connectivity of the wavelet frames. We use o...
We examine some recent results of Bownik on density and connectivity of the wavelet frames. We use o...
Abstract. We examine some recent results of Bownik on density and connectivity of the wavelet frames...
AbstractDensity conditions including necessary ones and sufficient ones for irregular wavelet system...
AbstractIt is known that wavelet frames do not exhibit a Nyquist density. Even so, this paper shows ...
AbstractWe study the approximation properties of wavelet bi-frame systems in Lp(Rd). For wavelet bi-...
It is an open problem whether any pair of Bessel sequences with wavelet structure can be extended to...
AbstractWe formulate several criteria on square-integrable functions in terms of certain smoothness ...
AbstractWe formulate several criteria on square-integrable functions in terms of certain smoothness ...
International audienceWe study the approximation properties of wavelet bi-frame systems in Lp(R^d). ...
AbstractDensity conditions for wavelet systems with arbitrary sampling points to be frames are studi...
International audienceWe study the approximation properties of wavelet bi-frame systems in Lp(R^d). ...
Wavelet analysis and its fast algorithms are widely used in many fields of applied mathematics such ...
International audienceWe characterize the approximation spaces associated with the best $n$-term app...
International audienceWe characterize the approximation spaces associated with the best $n$-term app...