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- W4297615101 abstract "The space $D'_Gamma$ of distributions having their wavefront sets in a closed cone $Gamma$ has become important in physics because of its role in the formulation of quantum field theory in curved space time. In this paper, the topological and bornological properties of $D'_Gamma$ and its dual $E'_Lambda$ are investigated. It is found that $D'_Gamma$ is a nuclear, semi-reflexive and semi-Montel complete normal space of distributions. Its strong dual $E'_Lambda$ is a nuclear, barrelled and bornological normal space of distributions which, however, is not even sequentially complete. Concrete rules are given to determine whether a distribution belongs to $D'_Gamma$, whether a sequence converges in $D'_Gamma$ and whether a set of distributions is bounded in $D'_Gamma$." @default.
- W4297615101 created "2022-09-30" @default.
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- W4297615101 date "2014-05-03" @default.
- W4297615101 modified "2023-09-26" @default.
- W4297615101 title "Functional properties of Hörmander's space of distributions having a specified wavefront set" @default.
- W4297615101 hasPublicationYear "2014" @default.
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