We give a simple proof of Lawton's theorem on the orthogonality of translates of a compactly supported refinable function. The same technique provides an easy proof of uniqueness in Gundy's criterion on the characterization of low-pass filters associated to prescaling functions.
On stability and orthogonality of refinable functions
SALIANI, Sandra
2006-01-01
Abstract
We give a simple proof of Lawton's theorem on the orthogonality of translates of a compactly supported refinable function. The same technique provides an easy proof of uniqueness in Gundy's criterion on the characterization of low-pass filters associated to prescaling functions.File in questo prodotto:
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