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NON-GAUSSIAN WICK CALCULUS BASED ON HYPERCOMPLEX SYSTEMS

NON-GAUSSIAN WICK CALCULUS BASED ON HYPERCOMPLEX SYSTEMS

In this paper, we developed a non-Gaussian Wick calculus based on the theory of hypecomplex systems L1(Q, dm(x)).Using the Delsarte characters χn(x), we introduce a χ-Wick product, a χ-Hermite transform on the space of generalized functions H χ -q and discuss their properties.By means of the usual properties of complex …