Localized frames are finite unions of Riesz sequences (Q1869340)
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scientific article; zbMATH DE number 1896700
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Localized frames are finite unions of Riesz sequences |
scientific article; zbMATH DE number 1896700 |
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Localized frames are finite unions of Riesz sequences (English)
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10 April 2003
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Feichtinger conjectured that every frame can be decomposed into a finite union of Riesz sequences. While the full conjecture remains open, the author proves it for frames satisfying a certain localization property. This abstract condition turns out to be satisfied for (irregular) Gabor systems generated by a function in a specified modulation space, and for the reproducing kernel frame associated to a shift-invariant space.
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frame decomposition
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Riesz sequences
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localization property
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Gabor systems
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modulation space
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reproducing kernel frame
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shift-invariant space
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