International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 2, Pages 397-401

Fourier transforms of Lipschitz functions on the hyperbolic plane H2

M. S. Younis

Department of Mathematics, Yarmouk University, Irbid, Jordan

Received 24 April 1996

Copyright © 1998 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.


The purpose of the present work is to study the order of magnitude of the Fourier transforms fˆ(λ) for large λ of complex-valued functions f(z) sating certain Lipschitz conditions in the non-Euclidean hyperbolic plane H2.