2 papers
math.AP2024
Harmonic Curves From Euclidean Domains to Heisenberg Group H1
Tomasz Adamowicz, Marco Capolli, Ben Warhurst
We define and study the harmonic curves on domains in into the first Heisenberg group . These are the -regular mappings which are critical points…
math.AP2024
The Liouville theorem for discrete symmetric averaging operators
Tomasz Adamowicz, José G. Llorente
We introduce averaging operators on lattices and study the Liouville property for functions satisfying mean value properties associated to such operators. This frame…