Hypoelliptic convolution equations in $\cal{S}' (\Bbb R)$ for the Dunkl theory on $\Bbb R$
Ben Farah, Slaim ; Mokni, Kamel
Methods Appl. Anal., Tome 14 (2007) no. 1, p. 387-404 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
The aim of this paper is to characterize hypoelliptic convolution-equations in $\cal{S}' (\Bbb R)$ for the Dunkl theory on the real line. For this we determine the spaces of convolution and multiplication operators in $\cal{S}' (\Bbb R)$ for the Dunkl convolution and we show that the Fourier-Dunkl transform is a topological isomorphism between them.
Publié le : 2007-12-15
Classification:  Dunkl-convolution,  tempered distributions,  hypoelliptic equations,  46F10,  42A85,  42A38 
@article{1225813983,
     author = {Ben Farah, Slaim and Mokni, Kamel},
     title = {Hypoelliptic convolution equations in $\cal{S}' (\Bbb R)$ for the Dunkl theory on $\Bbb R$},
     journal = {Methods Appl. Anal.},
     volume = {14},
     number = {1},
     year = {2007},
     pages = { 387-404},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225813983}
}

Ben Farah, Slaim; Mokni, Kamel. Hypoelliptic convolution equations in $\cal{S}' (\Bbb R)$ for the Dunkl theory on $\Bbb R$. Methods Appl. Anal., Tome 14 (2007) no. 1, pp.  387-404. http://gdmltest.u-ga.fr/item/1225813983/