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RESEARCH PRODUCT

On the structure of the ultradistributions of Beurling type

Manuel Valdivia

subject

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsAlgebra and Number TheoryEuclidean spaceRiesz–Markov–Kakutani representation theoremApplied MathematicsOpen setStructure (category theory)Banach spaceType (model theory)Computational MathematicsLocally convex topological vector spaceGeometry and TopologyAnalysisStructured program theoremMathematics

description

Let O be a nonempty open set of the k-dimensional euclidean space Rk. In this paper, we give a structure theorem on the ultradistributions of Beurling type in O. Also, other structure results on certain ultradistributions are obtained, in terms of complex Borel measures in O.

https://doi.org/10.1007/bf03191823