Journal
MATHEMATISCHE NACHRICHTEN
Volume 283, Issue 11, Pages 1575-1588Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/mana.200710147
Keywords
Regularization of distributions; functional calculus; Weyl's estimate; Colombeau embeddings
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Funding
- Austrian Science Fund [Y237-N13]
- Austrian Science Fund (FWF) [Y237] Funding Source: Austrian Science Fund (FWF)
- Austrian Science Fund (FWF) [Y 237] Funding Source: researchfish
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We use spectral theory to produce embeddings of distributions into algebras of generalized functions on a closed (compact without boundary) Riemannian manifold. These embeddings are invariant under isometries and preserve the singularity structure of the distributions. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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