The Riesz transforms of the Gaussian (Q1342700)

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scientific article; zbMATH DE number 711029
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English
The Riesz transforms of the Gaussian
scientific article; zbMATH DE number 711029

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    The Riesz transforms of the Gaussian (English)
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    22 August 1995
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    The author shows that the Riesz transforms of the Gaussian \[ G(x = (2 \pi)^{-n/2} \exp \bigl( - | x |^ 2/2 \bigr), \quad x \in \mathbb{R}^ n \] are confluent hypergeometric functions.
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    Gaussian distribution
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    Riesz transforms
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    confluent hypergeometric functions
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