On the Orthogonality of Frames and the Density and Connectivity of Wavelet Frames
Abbreviated Journal Title
Acta Appl. Math.
Fourier Bessel multipliers; Wavelet frames; Wavelet Bessel sequences; Strongly disjoint frames; Orthogonal frames; Density and connectivity; OPERATOR-ALGEBRAS; SUPER-WAVELETS; GABOR FRAMES; REPRESENTATIONS; SET; SYSTEMS; Mathematics, Applied
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.
Acta Applicandae Mathematicae
Article; Proceedings Paper
"On the Orthogonality of Frames and the Density and Connectivity of Wavelet Frames" (2009). Faculty Bibliography 2000s. 1618.