Work

Manifold-valued generalized functions in full Colombeau spaces

Year: 2011

Type: preprint

Abstract: We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle homomorphisms and, based on this, provide a definition of tangent map for such generalized functions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1103.5845

Authors: Kunzinger, Michael, Nigsch, Eduard

Institution: University of Vienna

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Austrian Science Fund

Awards: Nonlinear Distributional Geometry, Geometry of Algebras of Generalized Functions, Global Analysis in Algebras of Generalized Functions

OpenAlex ID: W1775764161

Cites: 20

Cited by: 4

Related to: 20