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International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 2, Pages 397-401
doi:10.1155/S0161171298000544

Fourier transforms of Lipschitz functions on the hyperbolic plane H2

M. S. Younis

Department of Mathematics, Yarmouk University, Irbid, Jordan

Received 24 April 1996

Abstract

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.