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

Article ID

U4C9J

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

A. S. Okb El Bab
A. S. Okb El Bab
Hossam A. Ghany
Hossam A. Ghany Helwan University
M. Zakarya
M. Zakarya Al-Azhar University-Egypt
DOI

Abstract

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.

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.

A. S. Okb El Bab
A. S. Okb El Bab
Hossam A. Ghany
Hossam A. Ghany Helwan University
M. Zakarya
M. Zakarya Al-Azhar University-Egypt

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M. Zakarya. 2016. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F1): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Issue Cover
GJSFR Volume 16 Issue F1
Pg. 11- 25
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GJSFR-F Classification: MSC 2010: 30G35
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A Construction of Non-Gaussian White Noise Analysis using the Theory of Hypercomplex Systems

A. S. Okb El Bab
A. S. Okb El Bab
Hossam A. Ghany
Hossam A. Ghany Helwan University
M. Zakarya
M. Zakarya Al-Azhar University-Egypt

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