Geodesic
Some remarks concerning the Fourier transform in the space $L_2(\mathbb R)$
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 939-945

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Two useful estimates are proved for the Fourier transform in the space of square integrable functions on certain classes of functions characterized by the generalized continuity modulus. 
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     title = {Some remarks concerning the {Fourier} transform in the space $L_2(\mathbb R)$},
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V. A. Abilov; F. V. Abilova; M. K. Kerimov. Some remarks concerning the Fourier transform in the space $L_2(\mathbb R)$. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 939-945. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a0/