Geodesic
A Class of Abstract Linear Representations for Convolution Function Algebras overHomogeneous Spaces of Compact Groups
Canadian journal of mathematics, Tome 70 (2018) no. 1, pp. 97-116

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DOI

This paper introduces a class of abstract linear representations on Banach convolution function algebras over homogeneous spaces of compact groups. Let $G$ be a compact group and $H$ a closed subgroup of $G$ . Let $\mu $ be the normalized $G$ -invariant measure over the compact homogeneous space $G/H$ associated with Weil's formula and $1\,\le \,p\,<\,\infty $ . We then present a structured class of abstract linear representations of the Banach convolution function algebras ${{L}^{p}}\left( G/H,\,\mu\right)$ .
DOI : 10.4153/CJM-2016-043-9
Mots-clés : 43A85, 47A67, 20G05, homogeneous space, linear representation, continuous unitary representation, convolution function algebra, compact group, convolution, involution 
Farashahi, Arash Ghaani. A Class of Abstract Linear Representations for Convolution Function Algebras overHomogeneous Spaces of Compact Groups. Canadian journal of mathematics, Tome 70 (2018) no. 1, pp. 97-116. doi: 10.4153/CJM-2016-043-9
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