We construct a two-parameter family of actions ωk, a of the Lie algebra 𝔰𝔩 (2, ℝ) by
differential–difference operators on ℝN∖{0}. Here k is a multiplicity function for the Dunkl …

Using a polarization of a suitable restriction map, and heat-kernel analysis, we construct a
generalized Segal-Bargmann transform associated with every finite Coxeter group G on ℝ …

We discuss in which cases the Dunkl convolution u∗ kv u*_kv of distributions u, vu,v,
possibly both with non‐compact support, can be defined and study its analytic properties …

In this paper, we introduce a class of nonlinear wave equations associated with the
generalized Dunkl–Laplace operator, we study local and global well-posedness. Next we …

The Dunkl operators involve a multiplicity function k as parameter [CF Dunkl, Differential-
difference operators associated to reflection groups, Trans. Amer. Math. Soc. 311 (1989) 167 …

Let $\a $ be an Euclidean vector space of dimension $ N, $ and let $ k=(k_\alpha) _
{\alpha\in\cal R} $ be a multiplicity function related to a root system $\cal R. $ Let $\Delta (k) …

Let denote Dunkl's intertwining operator associated with some root system and multiplicity.
For two multiplicities on, we study the intertwiner between Dunkl operators with multiplicities …

On the boundedness of the Dunkl spherical maximal operator Page 1 Journal of Topology and
Analysis Vol. 8, No. 3 (2016) 475–495 c© World Scientific Publishing Company DOI …

Global well-posedness and scattering for a class of nonlinear Dunkl–Schrödinger equations
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In our thesis we consider:• pseudo-differential operators generated by the Dunkl operator;•
inverse source problem for Dunkl-heat equation with the Caputo fractional derivative;• …