Abstract
This note studies Bessel sequences and frames of shift-invariant spaces generated by a countable set of periodic functions. We give characterizations under which the set of translations of the countable set is a Bessel sequence or a frame in terms of spectral decompositions of some self-adjoint operators.
| Original language | English |
|---|---|
| Pages (from-to) | 204-211 |
| Number of pages | 8 |
| Journal | Journal of Approximation Theory |
| Volume | 107 |
| Issue number | 2 |
| DOIs | |
| State | Published - Dec 2000 |
Keywords
- Bessel sequence
- Frame
- Shift-invariant space
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