Преобразование Фурье функций удовлетворяющих условию Липшица, на плоскости Лобачевского
Problemy analiza, no. 10 (2003), pp. 31-40
Cet article a éte moissonné depuis la source Math-Net.Ru
We prove the non-Euclidean analogue of the theorem of E. Titchmarsh about the description of image under Fourier transform of functions satisfying certain Lipschitz conditions.
@article{PA_2003_10_a3,
author = {S. S. Platonov},
title = {{\CYRP}{\cyrr}{\cyre}{\cyro}{\cyrb}{\cyrr}{\cyra}{\cyrz}{\cyro}{\cyrv}{\cyra}{\cyrn}{\cyri}{\cyre} {{\CYRF}{\cyru}{\cyrr}{\cyrsftsn}{\cyre}} {\cyrf}{\cyru}{\cyrn}{\cyrk}{\cyrc}{\cyri}{\cyrishrt} {\cyru}{\cyrd}{\cyro}{\cyrv}{\cyrl}{\cyre}{\cyrt}{\cyrv}{\cyro}{\cyrr}{\cyrya}{\cyryu}{\cyrshch}{\cyri}{\cyrh} {\cyru}{\cyrs}{\cyrl}{\cyro}{\cyrv}{\cyri}{\cyryu} {{\CYRL}{\cyri}{\cyrp}{\cyrsh}{\cyri}{\cyrc}{\cyra},} {\cyrn}{\cyra} {\cyrp}{\cyrl}{\cyro}{\cyrs}{\cyrk}{\cyro}{\cyrs}{\cyrt}{\cyri} {{\CYRL}{\cyro}{\cyrb}{\cyra}{\cyrch}{\cyre}{\cyrv}{\cyrs}{\cyrk}{\cyro}{\cyrg}{\cyro}}},
journal = {Problemy analiza},
pages = {31--40},
year = {2003},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PA_2003_10_a3/}
}
S. S. Platonov. Преобразование Фурье функций удовлетворяющих условию Липшица, на плоскости Лобачевского. Problemy analiza, no. 10 (2003), pp. 31-40. http://geodesic.mathdoc.fr/item/PA_2003_10_a3/