Transformations of Gaussian measures generated by the Levý Laplacian, and generalized traces (Q1385848)

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scientific article; zbMATH DE number 1148045
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Transformations of Gaussian measures generated by the Levý Laplacian, and generalized traces
scientific article; zbMATH DE number 1148045

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    Transformations of Gaussian measures generated by the Levý Laplacian, and generalized traces (English)
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    23 June 1998
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    The authors write: \dots{} this paper deals with a deduction of Cameron-Martin-Girsanov-Maruyama and Reimer formulas for the Gaussian measure generated by the Levý Laplacian, including the measure that corresponds to the Levý-Wiener process; in this formulas, we use both the Levý trace and Levý determinant. At first we describe some properties of logarithmic derivatives of cylindrical measures \dots{} No proofs are given.
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    Levý Laplacian
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    Levý trace
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    logarithmic derivative
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    Gaussian measure
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    Wiener process
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    cylindrical measures
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