Completeness of Gaussian orbital and geminal basis sets for linear molecules inL2 and in the first and second Sobolev spaces

This is the authors' abstract. We don't add key points for this paper.

Completeness theorems for Gaussian orbital and geminal basis sets of axial symmetry are proved in the space L2 of square integrable functions and in the first and second Sobolev spaces H1 and H2.