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

MENSAH, Yaogan

Research Article

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

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.

How to Cite

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

BibTeX

@article{MENSAH2013,
  author  = {MENSAH, Yaogan},
  title   = {Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups},
  journal = {Int. J. Anal. Appl.},
  volume  = {2},
  year    = {2013},
  pages   = {19--25},
  doi     = {}
}

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