Cohomological Laplace transform on non-convex cones and Hardy spaces of $\bar{\partial }$-cohomology on non-convex tube domains

Simon Gindikin, Hideyuki Ishi

We consider a class of non-convex cones $V$ in ${\mathbb{R}}^n$ which can be presented as (not unique) union of convex cones of some codimension $q$ which we call the index of non-co…