arXiv Analytics

Sign in

arXiv:0709.2039 [math.AP]AbstractReferencesReviewsResources

Geometrical embeddings for distributions into algebras of generalized functions

Shantanu Dave

Published 2007-09-13Version 1

We use spectral theory to produce embeddings of distributions in the algebras of generalized functions on a closed Riemannian manifold. These embeddings are invariant under isometries and preserve the singularity structure of the distributions.

Categories: math.AP
Related articles: Most relevant | Search more
arXiv:math/0401397 [math.AP] (Published 2004-01-28, updated 2004-02-20)
Microlocal analysis of generalized functions: pseudodifferential techniques and propagation of singularities
arXiv:0906.1374 [math.AP] (Published 2009-06-07)
Rapidly converging approximations and regularity theory
arXiv:1307.3666 [math.AP] (Published 2013-07-13)
The existence and singularity structure of low regularity solutions of higher-order degenerate hyperbolic equations

Links

Toolbox