Colombeau's Generalized Functions on Arbitrary Manifolds

Abstract

We extend the Colombeau algebra of generalized functions to arbitrary (infinitely differentiable, paracompact) n-dimensional manifolds M. Embedding of continuous functions and distributions is achieved with the help of a family of n-forms defined on the tangent bundle TM, which form a partition of unity upon integration over the fibres.

10 pages, latex2e, amstex macros, no figures