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Geometrical embeddings of distributions into algebras of generalized functions
Author(s) -
Dave Shantanu
Publication year - 2010
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710147
Subject(s) - mathematics , invariant (physics) , pure mathematics , riemannian manifold , boundary (topology) , singularity , manifold (fluid mechanics) , distribution (mathematics) , mathematical analysis , mathematical physics , mechanical engineering , engineering
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 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)