Continuation of holomorphic solutions to convolution equations in complex domains
Volume 74 / 2000
Annales Polonici Mathematici 74 (2000), 105-115
DOI: 10.4064/ap-74-1-105-115
Abstract
For an analytic functional $S$ on $ℂ^n$, we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in $ℂ^n$. We determine the directions in which every solution can be continued analytically, by using the characteristic set.
