English

Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functions

Functional Analysis 2018-03-19 v2

Abstract

We define and characterize spaces of manifold-valued generalized functions and generalized vector bundle homomorphisms in the setting of the full diffeomorphism-invariant vector-valued Colombeau algebra. Furthermore, we establish point value characterizations for these spaces.

Keywords

Cite

@article{arxiv.1603.08347,
  title  = {Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functions},
  author = {Eduard A. Nigsch},
  journal= {arXiv preprint arXiv:1603.08347},
  year   = {2018}
}

Comments

fixed some typos & formatting, added journal reference

R2 v1 2026-06-22T13:19:35.760Z