The division problem for tempered distributions of one variable
نویسندگان
چکیده
We give a characterization, in one variable case, of those C∞ multipliers F such that the division problem is solvable in S′(R). For these functions F ∈ OM (R) we even prove that the multiplication operator MF (G) = FG has a continuous linear right inverse on S′(R), in contrast to what happens in the several variables case, as was shown by Langenbruch. 2010 Mathematics Subject Classification. Primary: 46F10, secondary: 46F05
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