Colombeau algebras on a Cl manifold

J.W. de Roever, J.W. de Roever, M. Damsma, M.N. Damsma

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    Abstract

    In this paper Colombeau's algebra of functions on Rn, containing the distributions, is generalized to a sheaf on a C∞-manifold. The well-known problem of restricting distributions to a submanifold is solved within this framework.
    Original languageEnglish
    Pages (from-to)341-358
    Number of pages18
    JournalIndagationes mathematicae
    Volume2
    Issue number3
    DOIs
    Publication statusPublished - 1991

    Keywords

    • METIS-140339
    • IR-72977

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    de Roever, J. W., de Roever, J. W., Damsma, M., & Damsma, M. N. (1991). Colombeau algebras on a Cl manifold. Indagationes mathematicae, 2(3), 341-358. https://doi.org/10.1016/0019-3577(91)90022-Y