Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups

Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups

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This paper gives an interpretation of the Fourier-Stieltjes transform of vector measures by means of the tensor product of Hilbert spaces. It also extends the Kronecker product to some operators arising from the Fourier-Stieltjes transformation and associated with the equivalence classes of unitary...

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Main Author: Yaogan MENSAH
Format: Article
Language:English
Published: Etamaths Publishing 2013-07-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/80
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spelling doaj-bd5d873a647d43c7855e6822df5f51942020-11-25T01:50:36ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392013-07-0121192516Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact GroupsYaogan MENSAHThis paper gives an interpretation of the Fourier-Stieltjes transform of vector measures by means of the tensor product of Hilbert spaces. It also extends the Kronecker product to some operators arising from the Fourier-Stieltjes transformation and associated with the equivalence classes of unitary representations of a compact group. We obtain among other results the effect of this product on convolution of vector measures.http://www.etamaths.com/index.php/ijaa/article/view/80
collection DOAJ
language English
format Article
sources DOAJ
author Yaogan MENSAH
spellingShingle Yaogan MENSAH
Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups
International Journal of Analysis and Applications
author_facet Yaogan MENSAH
author_sort Yaogan MENSAH
title Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups
title_short Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups
title_full Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups
title_fullStr Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups
title_full_unstemmed Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups
title_sort facts about the fourier-stieltjes transform of vector measures on compact groups
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2013-07-01
description This paper gives an interpretation of the Fourier-Stieltjes transform of vector measures by means of the tensor product of Hilbert spaces. It also extends the Kronecker product to some operators arising from the Fourier-Stieltjes transformation and associated with the equivalence classes of unitary representations of a compact group. We obtain among other results the effect of this product on convolution of vector measures.
url http://www.etamaths.com/index.php/ijaa/article/view/80
work_keys_str_mv AT yaoganmensah factsaboutthefourierstieltjestransformofvectormeasuresoncompactgroups
_version_ 1725000964137549824

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