On a nonlinear Peetre\'s theorem in full Colombeau algebras

Commentationes mathematicae Universitatis Carolinae

E. A. Nigsch

关键词: nonlinear Peetre\'s theorem;    local function;    Colombeau algebraDOI: DOI 10.14712/1213-7243.2015.197AMS Subject Classification: 46F30 PDF;   

DOI  :  10.14712/1213-7243.2015.197

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 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.

【 授权许可】

CC BY