On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 315-336
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In this paper we study Beurling type distributions in the Hankel setting. We consider the space ${\mathcal E}(w)^{\prime }$ of Beurling type distributions on $(0, \infty )$ having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space ${\mathcal E}(w)^{\prime }$. We also establish Paley Wiener type theorems for Hankel transformations of distributions in ${\mathcal E}(w)^{\prime }$.
Classification :
44A15, 46F10, 46F12
Keywords: Beurling distributions; Hankel transformation; convolution
Keywords: Beurling distributions; Hankel transformation; convolution
@article{CMJ_2004__54_2_a4,
author = {Belhadj, M. and Betancor, J. J.},
title = {On {Hankel} transform and {Hankel} convolution of {Beurling} type distributions having upper bounded support},
journal = {Czechoslovak Mathematical Journal},
pages = {315--336},
publisher = {mathdoc},
volume = {54},
number = {2},
year = {2004},
mrnumber = {2059253},
zbl = {1080.46025},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2004__54_2_a4/}
}
TY - JOUR AU - Belhadj, M. AU - Betancor, J. J. TI - On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support JO - Czechoslovak Mathematical Journal PY - 2004 SP - 315 EP - 336 VL - 54 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2004__54_2_a4/ LA - en ID - CMJ_2004__54_2_a4 ER -
%0 Journal Article %A Belhadj, M. %A Betancor, J. J. %T On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support %J Czechoslovak Mathematical Journal %D 2004 %P 315-336 %V 54 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMJ_2004__54_2_a4/ %G en %F CMJ_2004__54_2_a4
Belhadj, M.; Betancor, J. J. On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 315-336. http://geodesic.mathdoc.fr/item/CMJ_2004__54_2_a4/