6533b7d0fe1ef96bd125ac51
RESEARCH PRODUCT
Mixed intersections of non quasi-analytic classes
Manuel ValdiviaJean Schmetssubject
Discrete mathematicsCombinatoricsComputational MathematicsAlgebra and Number TheoryTensor productKernel (set theory)Applied MathematicsStructure (category theory)Regular polygonGeometry and TopologyAnalysisMathematicsdescription
Given two semi-regular matrices M and M' and two open subsets O and O' [resp. two compact subsets K and K'] of Rr and Rs respectively, we introduce the spaces E(M×M')(O × O') and D(M×M')(O × O') [resp. D(M×M')(K × K')]. In this paper we study their locally convex properties and the structure of their elements. This leads in [10] to tensor product representations of these spaces and to some kernel theorems.
year | journal | country | edition | language |
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2008-09-01 | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas |