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A Class of Abstract Linear Representations for Convolution Function Algebras over Homogeneous Spaces of Compact Groups

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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 .

Keywords: class abstract; function algebras; abstract linear; convolution function; linear representations

Journal Title: Canadian Journal of Mathematics
Year Published: 2018

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