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Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution

Dixan Peña Peña (UGent) and Franciscus Sommen (UGent)
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Abstract
In this article we present a closed formula for the CK-extension of the Gaussian distribution in Rm, and the monogenic version of the holomorphic function exp(z^2/2)/z which is a fundamental solution of the generalized Cauchy–Riemann operator.
Keywords
Clifford analysis, CK-extension, Fueter’s theorem

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Please use this url to cite or link to this publication:

Chicago
Peña Peña, Dixan, and Franciscus Sommen. 2009. “Monogenic Gaussian Distribution in Closed Form and the Gaussian Fundamental Solution.” Complex Variables and Elliptic Equations 54 (5): 429–440.
APA
Peña Peña, D., & Sommen, F. (2009). Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 54(5), 429–440.
Vancouver
1.
Peña Peña D, Sommen F. Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 2009;54(5):429–40.
MLA
Peña Peña, Dixan, and Franciscus Sommen. “Monogenic Gaussian Distribution in Closed Form and the Gaussian Fundamental Solution.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 54.5 (2009): 429–440. Print.
@article{988556,
  abstract     = {In this article we present a closed formula for the CK-extension of the Gaussian distribution in Rm, and the monogenic version of the holomorphic function exp(z\^{ }2/2)/z which is a fundamental solution of the generalized Cauchy--Riemann operator.},
  author       = {Pe{\~n}a Pe{\~n}a, Dixan and Sommen, Franciscus},
  issn         = {1747-6933},
  journal      = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
  keyword      = {Clifford analysis,CK-extension,Fueter{\textquoteright}s theorem},
  language     = {eng},
  number       = {5},
  pages        = {429--440},
  title        = {Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution},
  url          = {http://dx.doi.org/10.1080/17476930802669744},
  volume       = {54},
  year         = {2009},
}

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