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://www.etamaths.com/index.php/ijaa/article/view/80 |
| Summary: | 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. |
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| ISSN: | 2291-8639 |