A new representation of the Cauchy kernel for an arbitrary acute convex cone Γ in ℝⁿ is found. The domain of holomorphy of is described. An estimation of the growth of near the singularities is given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm163-1-2,
author = {S\l awomir Michalik},
title = {The Cauchy kernel for cones},
journal = {Studia Mathematica},
volume = {162},
year = {2004},
pages = {21-39},
zbl = {1053.32001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm163-1-2}
}
Sławomir Michalik. The Cauchy kernel for cones. Studia Mathematica, Tome 162 (2004) pp. 21-39. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm163-1-2/