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A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS

Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan

and

Département de Mathématiques, Faculté des Sciences, Université de Tunis El Manar, Campus Universitaire, Tunis 1060, Tunisia

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https://doi.org/10.1142/S0219025711004535Cited by:10 (Source: Crossref)

Abstract

We derive some characteristic properties of the convolution operator acting on white noise functions and prove that the convolution product of white noise distributions coincides with their Wick product. Moreover, we show that the S-transform and the Laplace transform coincide on Fock space.

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