International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 3, Pages 609-612

Fourier transforms of Dini-Lipschitz functions on Vilenkin groups

M. S. Younis

Department of Mathematics, Yamrouk University, Irbid, Jordan

Received 30 November 1987; Revised 17 January 1991

Copyright © 1992 M. S. Younis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In [4] we proved some theorems on the Fourier Transforms of functions satisfying conditions related to the Dini-Lipschitz conditions on the n-dimensional Euclidean space Rn and the torus group Tn. In this paper we extend those theorems for functions with Fourier series on Vilenkin groups.