Abstract
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.
Original language | English |
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Journal | Linear Algebra and Its Appl. |
Volume | 355 |
Issue number | 1-3 |
Pages (from-to) | 147-159 |
ISSN | 0024-3795 |
Publication status | Published - 2002 |