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On a property of complete orthonormal systems

✍ Scribed by N. B. Pogosyan


Publisher
SP MAIK Nauka/Interperiodica
Year
1975
Tongue
English
Weight
325 KB
Volume
17
Category
Article
ISSN
0001-4346

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Completeness of Orthonormal Wavelet Syst
✍ Richard S. Laugesen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 174 KB

It is shown that the discrete Calderón condition characterizes completeness of orthonormal wavelet systems, for arbitrary real dilations. That is, if a > 1, b > 0, and the system = {a j/2 ψ(a j xbk) A new proof of the Second Oversampling Theorem is found, by similar methods.