Characterization of Hida measures in white noise analysis (Q2751506)
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scientific article; zbMATH DE number 1664884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of Hida measures in white noise analysis |
scientific article; zbMATH DE number 1664884 |
Statements
3 July 2002
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white noise analysis
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Hida measure
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Characterization of Hida measures in white noise analysis (English)
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A certain class of growth functions \(u\) is introduced and a Gelfand triple \([E]_u\subset (L^2)\subset [E]^*_u\) associated with \(u\) is constructed. Properties of Legendre transforms of such functions are investigated. The main result is the characterization of Hida measure on \([E]^*_u\). As examples of such measures Poisson and Grey noise measure on \([E]^*_u\) are given.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00042].
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