Fourier transforms of Lipschitz functions on the hyperbolic plane H2

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.

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Bibliographic Details
Main Author: M. S. Younis
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171298000544
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author M. S. Younis
author_facet M. S. Younis
author_sort M. S. Younis
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1998-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-2fd3656e5b97402595dfbdd0b316547b2025-02-03T06:48:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121239740110.1155/S0161171298000544Fourier transforms of Lipschitz functions on the hyperbolic plane H2M. S. Younis0Department of Mathematics, Yarmouk University, Irbid, JordanThe 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.http://dx.doi.org/10.1155/S0161171298000544Fourier transformsLipschitz functionsabsolute convergence of Fourier transforms.
spellingShingle M. S. Younis
Fourier transforms of Lipschitz functions on the hyperbolic plane H2
International Journal of Mathematics and Mathematical Sciences
Fourier transforms
Lipschitz functions
absolute convergence of Fourier transforms.
title Fourier transforms of Lipschitz functions on the hyperbolic plane H2
title_full Fourier transforms of Lipschitz functions on the hyperbolic plane H2
title_fullStr Fourier transforms of Lipschitz functions on the hyperbolic plane H2
title_full_unstemmed Fourier transforms of Lipschitz functions on the hyperbolic plane H2
title_short Fourier transforms of Lipschitz functions on the hyperbolic plane H2
title_sort fourier transforms of lipschitz functions on the hyperbolic plane h2
topic Fourier transforms
Lipschitz functions
absolute convergence of Fourier transforms.
url http://dx.doi.org/10.1155/S0161171298000544
work_keys_str_mv AT msyounis fouriertransformsoflipschitzfunctionsonthehyperbolicplaneh2