Geodesic
Random mappings and a generalized additive functionals of a Wiener process
Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 1, pp. 43-61 Cet article a éte moissonné depuis la source Math-Net.Ru

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The definition of a generalized additive homogeneous functional of a Wiener process is introduced. It is shown that a generalized functional is uniquely specified by its characteristics. In this case the functions from the Schwartz space $S^*$ of slowly growing generalized functions play the role of generating functions.
Keywords: generalized Wiener functionals, multiple stochastic integrals, additive functionals. 
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A. A. Dorogovtsev; V. V. Bakunin. Random mappings and a generalized additive functionals of a Wiener process. Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 1, pp. 43-61. http://geodesic.mathdoc.fr/item/TVP_2003_48_1_a2/

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