Hypoelliptic Dunkl equations in the space of distributions on $\mathbb{R}^d$
Mejjaoli, Hatem
HAL, hal-00014610 / Harvested from HAL
Text on HAL
In this paper we define and study the Dunkl convolution product and the Dunkl transform on spaces of distributions on $ \mathbb{R}^d$. By using the main results obtained, we study the hypoelliptic Dunkl convolution equations in the space of distributions.
Publié le : 2005-11-28
Classification:  Hypoelliptic distributions,  Dunkl intertwining operator,  Dual Dunkl intertwining operator,  Dunkl translation operator,  Dunkl convolution product,  Dunkl transform,  Hypoelliptic distributions.,  33C80, 43A32, 44A35, 51F15.,  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] 
@article{hal-00014610,
     author = {Mejjaoli, Hatem},
     title = {Hypoelliptic Dunkl equations in the space of distributions on $\mathbb{R}^d$},
     journal = {HAL},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00014610}
}

Mejjaoli, Hatem. Hypoelliptic Dunkl equations in the space of distributions on $\mathbb{R}^d$. HAL, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/hal-00014610/