Pointwise convergence of wavelet expansions (Q1344174)
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scientific article; zbMATH DE number 720668
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pointwise convergence of wavelet expansions |
scientific article; zbMATH DE number 720668 |
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Pointwise convergence of wavelet expansions (English)
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9 February 1995
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The author examines the pointwise convergence of orthogonal wavelet expansions. Since the reproducing kernels of the associated multiresolution analysis form a quasi-positive delta sequence the author establishes pointwise uniform convergence on compact sets for continuous functions. This result is extended to distributions at points of continuity. The article is well written highlightning the main idea in a very comprehensible manner.
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pointwise convergence
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orthogonal wavelet expansions
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multiresolution analysis
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delta sequence
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