2 papers
math.FA2024
Differential complexes for local Dirichlet spaces, and non-local-to-local approximations
Michael Hinz, Jörn Kommer
We study differential -forms on non-smooth and possibly fractal metric measure spaces, endowed with a local Dirichlet form. Using this local Dirichlet form, we prove a result on…
math.FA2022
A tensor product approach to non-local differential complexes
Michael Hinz, Jörn Kommer
We study differential complexes of Kolmogorov-Alexander-Spanier type on metric measure spaces associated with unbounded non-local operators, such as operators of fractional Laplaci…