@inbook {STMAZ.01515776, author = {Norin, N.V.}, title = {Commutation relations for mixtures of Gaussian measures.}, year = {1995}, booktitle = {Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk}, isbn = {90-6764-196-0}, pages = {343-349}, publisher = {Utrecht: VSP}, abstract = {Summary: The aim of this paper is to establish commutation relations for a class of differentiable measures. This class $M$ consists of mixtures of Gaussian measures of a special type. Note that infinite-dimensional Cauchy measures, Bessel and Riesz potentials, and spherically symmetric measures belong to $M$. The It\^o-Wick decomposition for such measures, previously obtained by the author [in: Frontiers in pure and applied probability II. Front. Pure Appl. Probab. 8, 153-162 (1996; Zbl 0888.60007)] allows us to use explicit calculations as in the case of Gaussian measures.}, msc2010 = {60B05}, identifier = {0960.60006}, }