Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution

Dixan Pe\~na Pe\~na; Frank Sommen

arxiv: 0912.1373 · v1 · submitted 2009-12-07 · 🧮 math.CV

Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution

Dixan Pe\~na Pe\~na , Frank Sommen This is my paper

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keywords gaussiancloseddistributionfundamentalmonogenicsolutioncauchy-riemannck-extension

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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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Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution

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