Harmonic and subharmonic functions associated to root systems
Harmonic and subharmonic functions associated to root systems
In this thesis, we show that, for any root system $\mathcal{R}$ in the Euclidean space $\R^d$ and for any nonnegative multiplicity function $k$ on $\mathcal{R}$, we can develop in this geometric framework a Newtonian type or more generally a Riesz type potential theory which coincide with the classical theories when …