Convolution Equations in Spaces of Distributions Supported by Cones
Convolution Equations in Spaces of Distributions Supported by Cones
We describe some examples of surjective convolutors on $\mathcal {D}â(\Gamma )$, for $\Gamma$ a closed convex cone in ${{\mathbf {R}}^n}$. We also give necessary and suffficient conditions on ${S_1}, \ldots ,{S_m}$ in $\mathcal {S}â(\Gamma )$ to be generators of the whole convolution algebra $\mathcal {S}â(\Gamma )$.