Symmetry problems for gauge balls in the Heisenberg group

In this note we focus on possible characterizations of gauge-symmetric functions in the Heisenberg group. We discuss a family of inverse problems in potential theory relating solid and surface weighted mean-value formulas, and we show a partial solution to such problems. To this aim, we review a uni...

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Bibliographic Details
Main Author: Giulio Tralli
Format: Article
Language:English
Published: University of Bologna 2025-01-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/21056