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Can I read Potential theory associated with the Dunkl Laplacian on EtoBox?
Potential theory associated with the Dunkl Laplacian by Kods Hassine is a Mathematics article available to read on EtoBox.
What is Potential theory associated with the Dunkl Laplacian about?
The main goal of this paper is to develop a potential theoretical approach to study the Dunkl Laplacian ∆ k , which is a standard example of differential-difference operators. Introducing the Green kernel relative to ∆ k , we prove that the Dunkl Laplacian generates a Balayage space and we investigate the associated family of harmonic measures. Therefore, by means of harmonic kernels, we give a characterization of all ∆ k -harmonic functions on a large class of open subsets U of R d . We also establish existence and uniqueness results of a solution of the corresponding Dirichlet problem.
Who reads Potential theory associated with the Dunkl Laplacian?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Kods Hassine
- Publisher
- ISTE Group
- Published
- 2017
- Language
- EN
- Field
- Mathematics (Physical Sciences)