Wavelet transform on spaces of type \(W\) (Q1024957)
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scientific article; zbMATH DE number 5566191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wavelet transform on spaces of type \(W\) |
scientific article; zbMATH DE number 5566191 |
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Wavelet transform on spaces of type \(W\) (English)
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18 June 2009
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Function spaces of \(W\)-type were introduced by \textit{I. M. Gelfand} and \textit{G.E. Schilov} [Generalized functions. Vol. 3. Theory of differential equations. Academic Press. X (1967; Zbl 0355.46017)] and consist of entire analytic functions with special boundedness conditions. In this paper, the authors show that the wavelet integral transform is a linear continuous map between suitably designed function spaces of \(W\)-type.
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wavelet transform
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continuous wavelet transform
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wavelet integral transform
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continuity property
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function space of \(W\)-type
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spaces of type \(W\)
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