Continuity of the fundamental operations on distributions having a specified wave front set (with a counterexample by Semyon Alesker)
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Publication:2809347
DOI10.4064/sm8316-3-2016zbMath1366.46027arXiv1409.7662OpenAlexW2347205724WikidataQ124982885 ScholiaQ124982885MaRDI QIDQ2809347
Frédéric Hélein, Nguyen Viet Dang, Christian Brouder
Publication date: 27 May 2016
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.7662
Operations with distributions and generalized functions (46F10) Wave front sets in context of PDEs (35A18)
Related Items (12)
On Repeated Sequential Closures of Constructible Functions in Valuations ⋮ The extension of distributions on manifolds, a microlocal approach ⋮ Crofton formulas in pseudo-Riemannian space forms ⋮ Equidistribution of the conormal cycle of random nodal sets ⋮ Curvature measures of pseudo-Riemannian manifolds ⋮ Valdivia's lifting theorem for non-metrizable spaces ⋮ The quantum sine-Gordon model in perturbative AQFT ⋮ Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields ⋮ Properties of field functionals and characterization of local functionals ⋮ Functional properties of Hörmander's space of distributions having a specified wavefront set ⋮ Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry ⋮ Pollicott-Ruelle spectrum and Witten Laplacians
Cites Work
- The extension of distributions on manifolds, a microlocal approach
- Functional properties of Hörmander's space of distributions having a specified wavefront set
- Valuations on manifolds and integral geometry
- Continuity of multiplication of distributions
- A smooth introduction to the wavefront set
- Remarks on the Wave Front of a Distribution
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