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Boundedness Is Redundant in a Theorem of Daubechies

✍ Scribed by Tianxi Cai; Jianhong Shen

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
44 KB
Volume
6
Category
Article
ISSN
1063-5203

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✦ Synopsis

We polish a theorem and its proof of Daubechies by removing the boundedness condition. The importance of the original theorem is that it links the vanishing of moments to the smoothness.

πŸ“œ SIMILAR VOLUMES

The boundedness of all products of a pai
The boundedness of all products of a pair of matrices is undecidable
✍ Vincent D. Blondel; John N. Tsitsiklis πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 97 KB

We show that the boundedness of the set of all products of a given pair of rational matrices is undecidable. Furthermore, we show that the joint (or generalized) spectral radius ( ) is not computable because testing whether ( )61 is an undecidable problem. As a consequence, the robust stability of l