Reproducing kernels for Dunkl polyharmonic polynomials

@article{Touahri2012,
abstract = {In this paper, we compute explicitly the reproducing kernel of the space of homogeneous polynomials of degree $n$ and Dunkl polyharmonic of degree $m$, i.e. $\Delta _\{k\}^\{m\}u=0$, $m\in \mathbb \{N\}\setminus \lbrace 0\rbrace $, where $\Delta _\{k\}$ is the Dunkl Laplacian and we study the convergence of the orthogonal series of Dunkl polyharmonic homogeneous polynomials.},
author = {Touahri, Kamel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Dunkl Laplacian; reproducing kernel; Dunkl Laplacian; reproducing kernel},
language = {eng},
number = {1},
pages = {37-50},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Reproducing kernels for Dunkl polyharmonic polynomials},
url = {http://eudml.org/doc/246209},
volume = {53},
year = {2012},
}

TY - JOUR
AU - Touahri, Kamel
TI - Reproducing kernels for Dunkl polyharmonic polynomials
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2012
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 53
IS - 1
SP - 37
EP - 50
AB - In this paper, we compute explicitly the reproducing kernel of the space of homogeneous polynomials of degree $n$ and Dunkl polyharmonic of degree $m$, i.e. $\Delta _{k}^{m}u=0$, $m\in \mathbb {N}\setminus \lbrace 0\rbrace $, where $\Delta _{k}$ is the Dunkl Laplacian and we study the convergence of the orthogonal series of Dunkl polyharmonic homogeneous polynomials.
LA - eng
KW - Dunkl Laplacian; reproducing kernel; Dunkl Laplacian; reproducing kernel
UR - http://eudml.org/doc/246209
ER -