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• W1955766293 abstract "Let M be a smooth manifold, $${Isubset M}$$ a closed embedded submanifold of M and U an open subset of M. In this paper, we find conditions using a geometric notion of scaling for $${tin mathcal{D}^{prime}(U{setminus} I)}$$ to admit an extension in $${mathcal{D}^prime(U)}$$ . We give microlocal conditions on t which allow to control the wave front set of the extension generalizing a previous result of Brunetti–Fredenhagen. Furthermore, we show that there is a subspace of extendible distributions for which the wave front of the extension is minimal which has applications for the renormalization of quantum field theory on curved spacetimes." @default.
• W1955766293 created "2016-06-24" @default.
• W1955766293 creator A5060808788 @default.
• W1955766293 date "2015-08-13" @default.
• W1955766293 modified "2023-10-05" @default.
• W1955766293 title "The Extension of Distributions on Manifolds, a Microlocal Approach" @default.
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• W1955766293 doi "https://doi.org/10.1007/s00023-015-0419-8" @default.
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