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arXiv · 1802.01547

Dunkl-Schr\"odinger operators

Amel Hammi·Bechir Amri
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Abstract

In this paper, we consider the Schr\"odinger operators $L_k=-\Delta_k+V$, where $\Delta_k$ is the Dunkl-Laplace operator and $V$ is a non-negative potential on $R^d$. We establish that $L_k $ is essentially self-adjoint on $C_0^\infty$. In particular, we develop a bounded $H^\infty$-calculus on $L^p$ spaces for the Dunkl harmonic oscillator operator.

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BibTeXRIS

Amel Hammi, Bechir Amri. 2018-02-05. Dunkl-Schr\"odinger operators. https://arxiv.org/abs/1802.01547

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