6533b872fe1ef96bd12d37d2
RESEARCH PRODUCT
On the structure of certain ultradistributions
Manuel Valdiviasubject
Computational MathematicsPure mathematicsClass (set theory)Algebra and Number TheoryEuclidean spaceApplied MathematicsMathematical analysisStructure (category theory)Geometry and TopologyType (model theory)Differential operatorAnalysisMathematicsdescription
Let "o" be a nonempty open subset of the k-dimensional euclidean space Rk. In this paper we show that, if S is an ultradistribution in "o", belonging to a class of Roumieu type stable under differential operators, then there is a family f , 2 Nk 0, of elements of L1 loc("o") such that S is represented in the formP 2Nk 0 D"a"f "a". Some other results on the structure of certain ultradistributions of Roumieu type are also given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-03-01 | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas |