A Construction of Non-Gaussian White Noise Analysis using the Theory of Hypercomplex Systems

A. S. Okb El Bab, Hossam A. Ghany, M. Zakarya

Volume 16 Issue 1

Global Journal of Science Frontier Researc

In this paper, we present a generalization of white noise analysis to the case of non-Gaussian measures. For this purpose, we use a biorthogonal approach in which instead of the exponentials the characters of commutative hypercomplex systems are employed. Moreover, we construct the elements of Wick calculus in a non-Gaussian setting.