6533b7d0fe1ef96bd125ac51

RESEARCH PRODUCT

Mixed intersections of non quasi-analytic classes

Manuel ValdiviaJean Schmets

subject

Discrete mathematicsCombinatoricsComputational MathematicsAlgebra and Number TheoryTensor productKernel (set theory)Applied MathematicsStructure (category theory)Regular polygonGeometry and TopologyAnalysisMathematics

description

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.

https://doi.org/10.1007/bf03191822