Convolutions of generalized white noise functionals (Q2874361)

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scientific article; zbMATH DE number 6251982
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Convolutions of generalized white noise functionals
scientific article; zbMATH DE number 6251982

    Statements

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    29 January 2014
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    white noise
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    convolution
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    generalized Fourier-Gauss transform
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    generalized Fourier-Mehler transform
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    Convolutions of generalized white noise functionals (English)
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    This article continues the study of convolution products previously introduced by \textit{J. Yeh} [Pac. J. Math. 15, 731--738 (1965; Zbl 0128.33702)] in the white noise setting. Namely, an extension of the convolution product to generalized white noise functionals is considered. Having such a convolution naturally leads to generalized Fourier-Gauss and Fourier-Mehler transforms.
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