Abstract
We give a characterization, in one variable case, of those C ¿ multipliers F such that the division problem is solvable in S'(R{double-struck}). For these functions F¿O M(R{double-struck}) we even prove that the multiplication operator M F(G)=FG has a continuous linear right inverse on S'(R{double-struck}), in contrast to what happens in the several variables case, as was shown by Langenbruch. © 2011 Elsevier Inc.
