Intrinsic characterization of manifold-valued generalized functions

Details Intrinsic characterization of manifold-valued generalized functions Intrinsic characterization of manifold-valued generalized functions

2002-05-21

arxiv.org/abs/math/0205223v1

Proc. London Math. Soc. 87 (2), 451-470, 2003

Mathematics

Functional Analysis

LaTeX, 23 pages

Scientific paper

The concept of generalized functions taking values in a differentiable manifold is extended to a functorial theory. We establish several characterization results which allow a global intrinsic formulation both of the theory of manifold-valued generalized functions and of generalized vector bundle homomorphisms. As a consequence, a characterization of equivalence that does not resort to derivatives (already known for the scalar-valued cases of Colombeau's construction) is achieved. These results are employed to derive a point value description of all types of generalized functions valued in manifolds and to show that composition can be carried out unrestrictedly. Finally, a new concept of association adapted to the present setting is introduced.

Affiliated with

Also associated with

No associations

Rating

Intrinsic characterization of manifold-valued generalized functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Intrinsic characterization of manifold-valued generalized functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Intrinsic characterization of manifold-valued generalized functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-455028