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

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Yaogan MENSAH, Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups, Int. J. Anal. Appl., 2 (1) (2013), 19-25.

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Yaogan MENSAH

Abstract

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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References

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