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

[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.

[学科分类] 物理化学和理论化学

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