Manifold-valued generalized functions in full Colombeau spaces

Commentationes mathematicae Universitatis Carolinae

Michael Kunzinger¹ 

关键词: algebras of generalized functions;    manifold-valued generalized functions;    full Colombeau algebras;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

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.

【 授权许可】

CC BY