Bornologically isomorphic representations of distributions on manifolds

DOI10.1007/s00605-012-0442-5zbMath1304.46072arXiv1105.1642OpenAlexW2076174082MaRDI QIDQ1945800

Eduard Albert Nigsch

Publication date: 9 April 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1642

zbMATH Keywords

distributions on manifoldsdistributional geometrytensor distributionsbornological isomorphism

Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30) Spaces of linear operators; topological tensor products; approximation properties (46A32) Bornologies and related structures; Mackey convergence, etc. (46A17)

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Nonlinear generalized sections of vector bundles ⋮ The Hawking-Penrose singularity theorem for \(C^1\)-Lorentzian metrics ⋮ On regularization of vector distributions on manifolds ⋮ The singularity theorems of general relativity and their low regularity extensions ⋮ Functional properties of Hörmander's space of distributions having a specified wavefront set

Cites Work

• A global theory of algebras of generalized functions. II. Tensor distributions
• Continuity of multiplication of distributions
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• \(C^\infty\)-differentiable spaces
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