1 results
A Class of Abstract Linear Representations for Convolution Function Algebras over Homogeneous Spaces of Compact Groups
-
- Journal:
- Canadian Journal of Mathematics / Volume 70 / Issue 1 / 01 February 2018
- Published online by Cambridge University Press:
- 20 November 2018, pp. 97-116
- Print publication:
- 01 February 2018
-
- Article
-
- You have access
- Export citation
-
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 
${{L}^{p}}\left( G/H,\,\mu \right)$.
