From scaling sets to scaling functions (Q412404)
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scientific article; zbMATH DE number 6030413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | From scaling sets to scaling functions |
scientific article; zbMATH DE number 6030413 |
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From scaling sets to scaling functions (English)
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4 May 2012
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The author studies a general method for the construction of scaling functions for a multiresolution analysis in \(\mathbb R^n\) with an arbitrary expanding matrix with integer coefficients starting from a scaling function of the form \(\hat \varphi=\chi_S\) where \(S\subset \mathbb R^n\) is a scaling set. Furthermore, it is shown that each scaling function giving a multiresolution analysis can be obtained in this way. A number of examples is given.
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wavelet
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multiresolution analysis
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scaling function
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scaling set
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