arXiv Analytics

Sign in

arXiv:1601.06556 [math.FA]AbstractReferencesReviewsResources

On a nonlinear Peetre theorem in full Colombeau algebras

Eduard A. Nigsch

Published 2016-01-25Version 1

We adapt a nonlinear version of Peetre's theorem on local operators in order to investigate representatives of nonlinear generalized functions occurring in the theory of full Colombeau algebras.

Related articles:
arXiv:1611.06061 [math.FA] (Published 2016-11-18)
Full and special Colombeau algebras
arXiv:1103.5845 [math.FA] (Published 2011-03-30, updated 2011-10-12)
Manifold-valued generalized functions in full Colombeau spaces
arXiv:1802.04745 [math.FA] (Published 2018-02-13)
A counterexample to a nonlinear version of the Krein-Rutman theorem by R. Mahadevan