| Title:
|
On the support of Fourier transform of weighted distributions (English) |
| Author:
|
Guzmán-Partida, Martha |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
57-66 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give sufficient conditions for the support of the Fourier transform of a certain class of weighted integrable distributions to lie in the region $x_{1}\geq 0$ and $x_{2}\geq 0$. (English) |
| Keyword:
|
$S'$-convolution |
| Keyword:
|
weighted distribution spaces |
| Keyword:
|
Fourier transform |
| MSC:
|
46F05 |
| MSC:
|
46F10 |
| MSC:
|
46F12 |
| idZBL:
|
Zbl 1224.46074 |
| idMR:
|
MR2666080 |
| . |
| Date available:
|
2010-05-21T12:32:32Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140086 |
| . |
| Reference:
|
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| Reference:
|
[2] Alvarez J., Guzmán-Partida M.: The $\mathcal{S}'$-convolution with singular kernels in the euclidean case and the product domain case.J. Math. Anal. Appl. 270 (2002), 405–434. MR 1915708, 10.1016/S0022-247X(02)00078-1 |
| Reference:
|
[3] Barros-Neto J.: An introduction to the theory of distributions.Marcel Dekker, New York, 1973. Zbl 0512.46040, MR 0461128 |
| Reference:
|
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| Reference:
|
[5] Guzmán-Partida M.: On $n$-dimensional Hilbert transform of weighted distributions.Integral Transforms Spec. Funct. 19 (2008), no. 4, 235–248. MR 2412225, 10.1080/10652460701754778 |
| 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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| . |
