Year: 2026
Type: preprint
Abstract: We investigate the convergence properties of the family of operators $$ \mathcal{T}_{\bf N} f(x)=\sum_{j=N_1}^{N_2} v_j\Bigl( e^{-a_{j+1}(-Δ_k)^s}f(x) - e^{-a_j(-Δ_k)^s}f(x) \Bigr), \qquad x\in\mathbb{R}^d, $$ where $\{e^{-t(-Δ_k)^s}\}_{t>0}$ denotes the fractional heat semigroup generated by the Dunkl Laplacian $Δ_k$. Here ${\bf N}=(N_1,N_2)\in\mathbb{Z}^2$, $N_1
Source: arXiv (Cornell University)
Author: Mukherjee, Suman
Institution: Indian Institute of Technology Bombay
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7163357948