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Beitrag zum Divisionsproblem for Ultradistributionen und ein Fortsetzungssatz
Bernd Drostesubject
Mathematics::Functional AnalysisPure mathematicsNumber theoryExponential growthGeneral MathematicsCalculusAlgebraic geometryExtension (predicate logic)Characterization (mathematics)Division (mathematics)Single pointMathematicsdescription
In this note we give a characterization of ultradistributions, which are supported by a single point. As a consequence we get a necessary condition for the solvability of the division problem for ultradistributions similar to the well-known condition in the case of distributions (cf. Malgrange [12]). Finally an extension theorem for ultradistributions is proved, using exponential growth conditions, that generalize the condition of Lojasiewicz [11].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1979-09-01 | Manuscripta Mathematica |