Commutator properties for periodic splines (Q1284493)
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scientific article; zbMATH DE number 1278844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commutator properties for periodic splines |
scientific article; zbMATH DE number 1278844 |
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Commutator properties for periodic splines (English)
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21 November 1999
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Commutator properties are established for periodic splines with distinct uniformly spaced knots (on uniform meshes) operated on by certain pseudodifferential operators. The commutation involves the operations of multiplication by a smooth function and application of a discrete version of orthogonal projection obtained by using a quadrature rule (which need integrate only constants exactly) to approximate the inner product. The results mirror a well known super--approximation property of splines multiplied by smooth functions.
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periodic splines
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pseudodifferential operators
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orthogonal projections
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