Eigenfunction expansions for infinite dimensional Ornstein-Uhlenbeck processes (Q1071400)
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scientific article; zbMATH DE number 3940358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenfunction expansions for infinite dimensional Ornstein-Uhlenbeck processes |
scientific article; zbMATH DE number 3940358 |
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Eigenfunction expansions for infinite dimensional Ornstein-Uhlenbeck processes (English)
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1986
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We give a general construction of infinite dimensional Ornstein-Uhlenbeck processes. We present expansions of these processes based on the expansion of the covariance operators in generalized eigenfunctions, and we answer positively some question left open by \textit{J. B. Walsh} [Adv. Appl. Math. 13, 231-281 (1981; Zbl 0471.60083)] on properties of the hitting times of these processes.
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infinite dimensional Ornstein-Uhlenbeck processes
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expansion of the covariance operators
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eigenfunctions
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hitting times
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