# Harmonic and subharmonic functions associated to root systems

Abstract : 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 $k$ is the zero function.
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https://tel.archives-ouvertes.fr/tel-01291741
Contributor : Chaabane Rejeb <>
Submitted on : Friday, March 25, 2016 - 11:54:20 AM
Last modification on : Thursday, March 5, 2020 - 5:33:19 PM
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• HAL Id : tel-01291741, version 1

### Citation

Chaabane Rejeb. Harmonic and subharmonic functions associated to root systems. Mathematics [math]. Université François-Rabelais de Tours, Université de Tunis El Manar, 2015. English. ⟨tel-01291741⟩

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