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math.AP2026
Density Measures
Moritz Schönherr, Friedemann Schuricht
The paper treats density measures as typical examples of finitely additive measures in . We study their structure and derive basic properties. In addition, estimates…
math.AP2022★ 1 cited
A theory of traces and the divergence theorem
Moritz Schönherr, Friedemann Schuricht
We introduce a general approach to traces that we consider as linear continuous functionals on some function space where we focus on some special choices for that space. This leads…
math.AP2017
A General Theorem of Gauß Using Pure Measures
Moritz Schönherr, Friedemann Schuricht
This paper shows that finitely additive measures occur naturally in very general Divergence Theorems. The main results are two such theorems. The first proves the existence of pure…