3 papers
math.FA2026
Measures on General Codimensional Surfaces in Infinite Dimensions and Stokes-Type Theorems
Zhouzhe Wang, Jiayang Yu, Xu Zhang
In this paper, we give an explicit construction of surface measures on a class of surfaces with arbitrary, possibly infinite, codimension in . These measures are constructe…
math.DS2026
Numerical Integration at the Intersection of Probability Theory, Number Theory and Dynamical Systems
Zicheng Wang, Haisen Zhang, Xu Zhang
This paper is devoted to the study of uniformly distributed (u.d.) sequences on general non-compact topological spaces. Convergence-determining classes and the equivalent character…
math.FA2026
Extension of Sobolev functions on balls in infinite dimensions
Zhouzhe Wang, Xu Zhang, Shiliang Zhao
We prove the existence of a bounded Sobolev extension operator using a completely new method, where $B\s…