Fourier transforms of Dini-Lipschitz functions on Vilenkin groups

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.

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Main Author: M. S. Younis
Format: Article
Language:English
Published: Wiley 1992-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171292000784
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author M. S. Younis
author_facet M. S. Younis
author_sort M. S. Younis
collection DOAJ
description 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.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1992-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-6e913b798b22465d8b5595350eb653502025-02-03T01:29:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115360961210.1155/S0161171292000784Fourier transforms of Dini-Lipschitz functions on Vilenkin groupsM. S. Younis0Department of Mathematics, Yamrouk University, Irbid, JordanIn [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.http://dx.doi.org/10.1155/S0161171292000784Dini-Lipschitz functionsVilenkin Fourier series.
spellingShingle M. S. Younis
Fourier transforms of Dini-Lipschitz functions on Vilenkin groups
International Journal of Mathematics and Mathematical Sciences
Dini-Lipschitz functions
Vilenkin Fourier series.
title Fourier transforms of Dini-Lipschitz functions on Vilenkin groups
title_full Fourier transforms of Dini-Lipschitz functions on Vilenkin groups
title_fullStr Fourier transforms of Dini-Lipschitz functions on Vilenkin groups
title_full_unstemmed Fourier transforms of Dini-Lipschitz functions on Vilenkin groups
title_short Fourier transforms of Dini-Lipschitz functions on Vilenkin groups
title_sort fourier transforms of dini lipschitz functions on vilenkin groups
topic Dini-Lipschitz functions
Vilenkin Fourier series.
url http://dx.doi.org/10.1155/S0161171292000784
work_keys_str_mv AT msyounis fouriertransformsofdinilipschitzfunctionsonvilenkingroups