On the support of Fourier transform of weighted distributions
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 1, pp. 57-66
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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 $x_{2}\geq 0$.
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 $x_{2}\geq 0$.
Classification :
46F05, 46F10, 46F12
Keywords: $S'$-convolution; weighted distribution spaces; Fourier transform
Keywords: $S'$-convolution; weighted distribution spaces; Fourier transform
@article{CMUC_2010_51_1_a5,
author = {Guzm\'an-Partida, Martha},
title = {On the support of {Fourier} transform of weighted distributions},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {57--66},
year = {2010},
volume = {51},
number = {1},
mrnumber = {2666080},
zbl = {1224.46074},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2010_51_1_a5/}
}
Guzmán-Partida, Martha. On the support of Fourier transform of weighted distributions. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 1, pp. 57-66. http://geodesic.mathdoc.fr/item/CMUC_2010_51_1_a5/