Geometrical embeddings for distributions into algebras of generalized functions

Abstract

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.

References in corpus (2)

• Regular rapidly decreasing nonlinear generalized functions. Application to microlocal regularity
• Generalised Connections and Curvature