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On Series of Translates of Positive Functions

✍ Scribed by Z. Buczolich; J.-P. Kahane; R. D. Mauldin

Book ID
110325437
Publisher
Akadmiai Kiad
Year
2001
Tongue
English
Weight
329 KB
Volume
93
Category
Article
ISSN
1588-2632

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We consider \(L_{p}\)-approximation ( \(1 \leqslant p \leqslant \infty\) ) from the dilates of a space generated by a finite number of functions that have mild polynomial decay at infinity. In particular, the local-controlled density order of such a family of approximating spaces is characterized in