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Infinite-dimensional non-Gaussian analysis and generalized translation operators - MaRDI portal

Infinite-dimensional non-Gaussian analysis and generalized translation operators (Q1364871)

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scientific article; zbMATH DE number 1053622
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English
Infinite-dimensional non-Gaussian analysis and generalized translation operators
scientific article; zbMATH DE number 1053622

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    Infinite-dimensional non-Gaussian analysis and generalized translation operators (English)
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    4 November 1997
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    The author considers a family \(T= \{T_x\}_{x\in Q}\) of ``generalized translation operators'' on \(C(Q)\), \(Q\) being a separable complete metric space, and defines characters for such a family. Then he constructs non-Gaussian analogues of the Fock spaces for measures on \(Q\) and gives examples.
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    generalized translation operators
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    characters
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    non-Gaussian analogues of the Fock spaces
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