Strongly harmonizing operators and strongly harmonizable approximations of continuous random fields on LCA groups (Q1104633)
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scientific article; zbMATH DE number 4056688
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strongly harmonizing operators and strongly harmonizable approximations of continuous random fields on LCA groups |
scientific article; zbMATH DE number 4056688 |
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Strongly harmonizing operators and strongly harmonizable approximations of continuous random fields on LCA groups (English)
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1988
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The authors consider the complex linear space of continuous random fields on a locally compact Abelian group, G, and construct on it a family of strongly harmonizing operators. These are used to show that the subset of strongly harmonizable fields with compact support and which admit a spectral stochastic density is dense in this linear space. Under further conditions on G, they derive some sequential approximation properties of such harmonizable fields.
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smoothing
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continuous random fields on a locally compact Abelian group
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strongly harmonizing operators
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spectral stochastic density
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