Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591416 | Journal of Functional Analysis | 2012 | 10 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory