Geodesic
The Cauchy kernel for cones
Sławomir Michalik1
1 Faculty of Mathematics and Natural Sciences College of Science Cardinal Stefan Wyszyński University Dewajtis 5 01-815 Warszawa, Poland
Studia Mathematica, Tome 163 (2004) no. 1, pp. 21-39

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A new representation of the Cauchy kernel ${\mathcal K}_{{\mit \Gamma }}$ for an arbitrary acute convex cone ${\mit \Gamma }$ in ${\mathbb R}^n$ is found. The domain of holomorphy of ${\mathcal K}_{{\mit \Gamma }}$ is described. An estimation of the growth of ${\mathcal K}_{{\mit \Gamma }}$ near the singularities is given.
DOI : 10.4064/sm163-1-2
Keywords: representation cauchy kernel mathcal mit gamma arbitrary acute convex cone mit gamma mathbb found domain holomorphy mathcal mit gamma described estimation growth mathcal mit gamma near singularities given

Sławomir Michalik 1

1 Faculty of Mathematics and Natural Sciences College of Science Cardinal Stefan Wyszyński University Dewajtis 5 01-815 Warszawa, Poland 
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Sławomir Michalik. The Cauchy kernel for cones. Studia Mathematica, Tome 163 (2004) no. 1, pp. 21-39. doi: 10.4064/sm163-1-2

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