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 Abstract harmonic analysis over spaces of complex measures on homogeneous spaces of compact groups Bull. Korean Math. Soc. 2017 Vol. 54, No. 4, 1229-1240 https://doi.org/10.4134/BKMS.b160399Published online July 31, 2017 Arash Ghaani Farashahi University of Vienna Abstract : This paper presents a systematic study of the abstract harmonic analysis over spaces of complex measures on homogeneous spaces of compact groups. Let $G$ be a compact group and $H$ be a closed subgroup of $G$. Then we study abstract harmonic analysis of complex measures over the left coset space $G/H$. Keywords : homogeneous space, compact group, complex measure MSC numbers : Primary 43A85, 47A67 Downloads: Full-text PDF