# A Product Kernel Associated to Axially Symmetric Potentials

### New Zealand Journal of Mathematics

Vol. 46, (2016), Pages 89-96

Martha Guzman-Partida

Departamento de Matematicas,

Hermosillo, Sonora, 83000, Mexico.

Carlos Robles-Corbala

Departamento de Matematicas,

Hermosillo, Sonora, 83000, Mexico

Abstract We characterize a family of weighted integrable distributions convolvable with a natural product version of the kernel $\mathcal{K}_{\alpha}$ associated to generalized axially symmetric potentials.

Keywords Generalized axially symmetric potentials, weighted spaces of distributions.

Classification (MSC2000) 46F20, 35J25.