On the Orthogonality of Frames and the Density and Connectivity of Wavelet Frames Conference Paper

abstract

• 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 Bessel multipliers (operators that map wavelet Bessel functions to wavelet Bessel functions). In addition we obtain an asymptotically tight approximation result for wavelet frames. 2009 Springer Science+Business Media B.V.

authors

• Larson, David

published proceedings

• ACTA APPLICANDAE MATHEMATICAE

author list (cited authors)

• Han, D., & Larson, D. R.

citation count

• 15

complete list of authors

• Han, Deguang||Larson, David R

publication date

• July 2009

publisher

• Springer Nature  Publisher

published in

• Acta Applicandae Mathematicae  Journal

keywords

• Density And Connectivity
• Fourier Bessel Multipliers
• Orthogonal Frames
• Strongly Disjoint Frames
• Wavelet Bessel Sequences
• Wavelet Frames

Digital Object Identifier (DOI)

• 10.1007/s10440-008-9420-2

start page

• 211

end page

• 222

volume

• 107

issue

• 1-3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs10440-008-9420-2