Geodesic
Images of some functions and functional spaces under the Dunkl-Hermite semigroup
Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 3, pp. 345-365.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We propose the study of some questions related to the Dunkl-Hermite semigroup. Essentially, we characterize the images of the Dunkl-Hermite-Sobolev space, $\mathcal{S}(\mathbb{R})$ and $L^p_\alpha(\mathbb{R})$, $1$, under the Dunkl-Hermite semigroup. Also, we consider the image of the space of tempered distributions and we give Paley-Wiener type theorems for the transforms given by the Dunkl-Hermite semigroup.
Classification : 42B25, 46E35, 47B38, 47D03
Keywords: Dunkl-Hermite functions; Dunkl-Hermite semigroup; Dunkl-Hermite-Sobolev space 
@article{CMUC_2013__54_3_a3,
     author = {Ben Salem, N\'ejib and Nefzi, Walid},
     title = {Images of some functions and functional spaces under the {Dunkl-Hermite} semigroup},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {345--365},
     publisher = {mathdoc},
     volume = {54},
     number = {3},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2013__54_3_a3/}
}
TY  - JOUR
AU  - Ben Salem, Néjib
AU  - Nefzi, Walid
TI  - Images of some functions and functional spaces under the Dunkl-Hermite semigroup
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2013
SP  - 345
EP  - 365
VL  - 54
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2013__54_3_a3/
LA  - en
ID  - CMUC_2013__54_3_a3
ER  - 
%0 Journal Article
%A Ben Salem, Néjib
%A Nefzi, Walid
%T Images of some functions and functional spaces under the Dunkl-Hermite semigroup
%J Commentationes Mathematicae Universitatis Carolinae
%D 2013
%P 345-365
%V 54
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2013__54_3_a3/
%G en
%F CMUC_2013__54_3_a3
Ben Salem, Néjib; Nefzi, Walid. Images of some functions and functional spaces under the Dunkl-Hermite semigroup. Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 3, pp. 345-365. http://geodesic.mathdoc.fr/item/CMUC_2013__54_3_a3/