Cramer's theorem, that a normal distribution function $(\operatorname{df})$ has only normal components, is extended to a case where the components are allowed to be from a subclass $(B_1)$ of the ...

It is well known that sets of finite perimeter can be strictly approximated by smooth sets, while, in general, one cannot hope to approximate an open set Ω of finite perimeter in ℝn strictly from ...

Geometric analysis in metric spaces is a rapidly evolving field that synthesises tools from analysis, geometry and measure theory to study spaces without the classical smooth structure. By extending ...