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Bull. Korean Math. Soc. 2017; 54(4): 1229-1240

Online first article July 3, 2017      Printed July 31, 2017

https://doi.org/10.4134/BKMS.b160399

Copyright © The Korean Mathematical Society.

Abstract harmonic analysis over spaces of complex measures on homogeneous spaces of compact groups

Arash Ghaani Farashahi

University of Vienna

Abstract

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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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