This paper introduces a class of abstract linear representations on Banach convolution function algebras over homogeneous spaces of compact groups. Let be a compact group and a closed subgroup of… Click to show full abstract
This paper introduces a class of abstract linear representations on Banach convolution function algebras over homogeneous spaces of compact groups. Let be a compact group and a closed subgroup of . Let be the normalized -invariant measure over the compact homogeneous space associated with Weil's formula and . We then present a structured class of abstract linear representations of the Banach convolution function algebras .
               
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