Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution

Details Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution

2009-12-07

arxiv.org/abs/0912.1373v1

Complex Var. Elliptic Equ. 54 (2009), no. 5, 429--440

Mathematics

Complex Variables

Scientific paper

In this paper we present a closed formula for the CK-extension of the
Gaussian distribution in $\mathbb R^m$, and the monogenic version of the
holomorphic function $\exp(z^2/2)/z$ which is a fundamental solution of the
generalized Cauchy-Riemann operator.

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