A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper. For such space an equivalent description in terms of estimates on all of its partial derivatives as functions on Rn and a Paley-Wiener type theorem are obtained.
@article{bwmeta1.element.doi-10_1515_conop-2015-0007,
author = {Il'dar Kh. Musin},
title = {On a space of entire functions rapidly decreasing on Rn and its Fourier transform},
journal = {Concrete Operators},
volume = {2},
year = {2015},
zbl = {06506587},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_conop-2015-0007}
}
Il’dar Kh. Musin. On a space of entire functions rapidly decreasing on Rn and its Fourier transform. Concrete Operators, Tome 2 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_conop-2015-0007/
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