Characterization and connectivity of generalized filters in \(L^2(\mathbb R^d)\) (Q1038725)
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scientific article; zbMATH DE number 5636300
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization and connectivity of generalized filters in \(L^2(\mathbb R^d)\) |
scientific article; zbMATH DE number 5636300 |
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Characterization and connectivity of generalized filters in \(L^2(\mathbb R^d)\) (English)
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20 November 2009
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Let \(A\) be a \(d\times d\) real matrix whose eigenvalues have moduli greater than 1 and such that \(|\text{det}A|=2\). The author introduces an \(A\)-dilation generalized filter. The main result is a characterization of the set of \(A\)-dilation generalized filters.
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generalized filters
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\(A\)-dilation
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generalized filter multipliers
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