Generalized Integral Operators and Applications
综合数学
2016-08-16 v1
摘要
We extend the theory of distributional kernel operators to a framework of generalized functions, in which they are replaced by integral kernel operators. Moreover, in contrast to the distributional case, we show that these generalized integral operators can be composed unrestrictedly. This leads to the definition of the exponential, and more generally entire functions, of a subclass of such operators.
引用
@article{arxiv.math/0505126,
title = {Generalized Integral Operators and Applications},
author = {Séverine Bernard and Jean-François Colombeau and Antoine Delcroix},
journal= {arXiv preprint arXiv:math/0505126},
year = {2016}
}
备注
25 pages, Equipe AANL