Geodesic
Some remarks concerning the Fourier transform in the space $L_2(\mathbb R^n)$
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2113-2120 
V. A. Abilov; F. V. Abilova; M. K. Kerimov. Some remarks concerning the Fourier transform in the space $L_2(\mathbb R^n)$. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2113-2120. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the Fourier transform in the space $L_2(\mathbb R^n)$ of square integrable multivariable functions, two practically useful estimates are proved in certain classes of functions characterized by a generalized continuity modulus.

[1] Avilov V. A., Avilova M. V., Kerimov M. K., “Neskolko zamechanii o preobrazovanii Fure v prostranstve $L_2(\mathbb R)$”, Zh. vychisl. matem. i matem. fiz., 48:6 (2008), 939–945

[2] Abilov V. A., “On the convergence of multiple fourier series and quadrature formulae”, Math. Balcanica, New Series, 16:1–4 (2002), 73–94 | MR | Zbl

[3] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1969 | MR