Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups
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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| Format: | Article |
| Language: | English |
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Etamaths Publishing
2013-07-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/80 |
| _version_ | 1818364500134330368 |
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| author | Yaogan MENSAH |
| author_facet | Yaogan MENSAH |
| author_sort | Yaogan MENSAH |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-13T22:05:21Z |
| format | Article |
| id | doaj.art-4e42cc2639394d268c6bb963228e0a5c |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-13T22:05:21Z |
| publishDate | 2013-07-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-4e42cc2639394d268c6bb963228e0a5c2022-12-21T23:29:52ZengEtamaths 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://etamaths.com/index.php/ijaa/article/view/80 |
| spellingShingle | Yaogan MENSAH Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups International Journal of Analysis and Applications |
| title | 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_short | 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 |
| url | http://etamaths.com/index.php/ijaa/article/view/80 |
| work_keys_str_mv | AT yaoganmensah factsaboutthefourierstieltjestransformofvectormeasuresoncompactgroups |