English

Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution

Complex Variables 2009-12-09 v1

Abstract

In this paper we present a closed formula for the CK-extension of the Gaussian distribution in Rm\mathbb R^m, and the monogenic version of the holomorphic function exp(z2/2)/z\exp(z^2/2)/z which is a fundamental solution of the generalized Cauchy-Riemann operator.

Keywords

Cite

@article{arxiv.0912.1373,
  title  = {Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution},
  author = {Dixan Peña Peña and Frank Sommen},
  journal= {arXiv preprint arXiv:0912.1373},
  year   = {2009}
}