Journal article
Explicitly given pairs of dual frames with compactly supported generators and applications to irregular B-splines
We consider systems of functions appearing by letting a class of modulations act on a countable collection of functions. These systems correspond to shift-invariant systems, considered on the Fourier side. We provide sufficient conditions for the system to be a frame, as well as an explicit construction of a class of frames and associated duals.
We use the result to construct frames based on B-splines with knot sequences satisfying a natural condition, as well as explicitly given duals.
Language: | English |
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Year: | 2008 |
Pages: | 155-163 |
ISSN: | 10960430 and 00219045 |
Types: | Journal article |
DOI: | 10.1016/j.jat.2007.09.007 |
ORCIDs: | Christensen, Ole |