naa a22 4500 510811531 CHVBK 20180411083444.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1134/S0081543813010070 doi (NATIONALLICENCE)springer-10.1134/S0081543813010070 Fourier transforms in generalized Lipschitz classes [Elektronische Daten] [S. Volosivets, B. Golubov] We obtain sufficient conditions for the Fourier transform of a function f ∈ L 1(ℝ) to belong to generalized Lipschitz classes defined by the modulus of smoothness of order m. The sharpness of these conditions is established in the cases when f(t) ≥ 0 on ℝ or tf (t) ≥ 0 on ℝ. Pleiades Publishing, Ltd., 2013 Volosivets S. Mechanics and Mathematics Department, Saratov State University named after N.G. Chernyshevsky, ul. Astrakhanskaya 83, 410012, Saratov, Russia aut Golubov B. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, 141700, Dolgoprudnyi, Moscow oblast, Russia aut Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 280/1(2013-04-01), 120-131 0081-5438 280:1<120 2013 280 11501 https://doi.org/10.1134/S0081543813010070 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0081543813010070 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Volosivets S. Mechanics and Mathematics Department, Saratov State University named after N.G. Chernyshevsky, ul. Astrakhanskaya 83, 410012, Saratov, Russia aut NATIONALLICENCE 700 1- Golubov B. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, 141700, Dolgoprudnyi, Moscow oblast, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 280/1(2013-04-01), 120-131 0081-5438 280:1<120 2013 280 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer