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.b160399
Published 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
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