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

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

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.

M. Zakarya | H. A. Ghany | A. O. E. Bab

[1] Abd-Allah Hyder,et al. The fractional coupled KdV equations: Exact solutions and white noise functional approach , 2013 .

[2] Hossam A. Ghany,et al. Exact Solutions for Stochastic Generalized Hirota-Satsuma Coupled KdV Equations , 2011 .

[3] S. Arabia,et al. Negative Definite Functions on Hypercomplex Systems , 2006 .

[4] Y. Berezansky,et al. A generalization of white noise analysis by means of theory of hypergroups , 1996 .

[5] S. Albeverio,et al. Non-Gaussian Infinite Dimensional Analysis , 1996 .

[6] E. M. Litvinov,et al. Spectral approach to white noise analysis , 1994 .

[7] N. Ikeda,et al. Analysis on Hilbert space with reproducing kernel arising from multiple Wiener integral , 1967 .