V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Some remarks concerning the Fourier transform in the space <nobr>$L_2(\mathbb R)$</nobr>”, Zh. Vychisl. Mat. Mat. Fiz., 2008, Volume 48, Number 6,Pages <nobr>939

This article is cited in 16 papers

Some remarks concerning the Fourier transform in the space $L_2(\mathbb R)$

V. A. Abilov^a, F. V. Abilova^b, M. K. Kerimov^c

^a Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia
^b Dagestan State Technical University, pr. Kalinina 70, Makhachkala, 367015, Russia
^c Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: 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.

Key words: integral Fourier transform, generalized derivatives, Steklov function.

UDC: 519.651

Received: 01.10.2007
Revised: 14.01.2008