| Title:
|
Images of some functions and functional spaces under the Dunkl-Hermite semigroup (English) |
| Author:
|
Ben Salem, Néjib |
| Author:
|
Nefzi, Walid |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2013 |
| Pages:
|
345-365 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $L^p_\alpha(\mathbb{R})$, $1<p<\infty$, 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. (English) |
| Keyword:
|
Dunkl-Hermite functions |
| Keyword:
|
Dunkl-Hermite semigroup |
| Keyword:
|
Dunkl-Hermite-Sobolev space |
| MSC:
|
42B25 |
| MSC:
|
46E35 |
| MSC:
|
47B38 |
| MSC:
|
47D03 |
| . |
| Date available:
|
2013-06-29T06:51:06Z |
| Last updated:
|
2015-10-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143306 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
