Journal article
Decomposition of Riesz frames and waveletsinto a finite union of linearly independent sets
We characterize Riesz frames and prove that every Riesz frame is the union of a finite number of Riesz sequences. Furthermore, it is shown that for piecewise continuous wavelets with compact support, the associated regular wavelet systems can be decomposed into a finite number of linearly independent sets.
Finally, for finite sets an equivalent condition for decomposition into a given number of linearly independent sets is presented.
Language: | English |
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Year: | 2002 |
Pages: | 147-159 |
ISSN: | 18731856 and 00243795 |
Types: | Journal article |
ORCIDs: | Christensen, Ole |