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/