International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 1, Pages 5-9
doi:10.1155/S0161171200002659

The Fourier transforms of Lipschitz functions on the Heisenberg group

M. S. Younis

Department of Mathematics, Yarmouk University, Irbid, Jordan

Received 1 December 1998

Copyright © 2000 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.

Abstract

We study the order of magnitude of the Fourier transforms of certain Lipschitz functions on the Heisenberg group Hn. We compare our conclusions with some previous results in the field.