Spherical Functions On Transitive Groupoids

Touré Ibrahima, Kangni Kinvi


Let G be a topological locally compact, Hausdorff and second countable groupoid with a Haar system and K a compact subgroupoid of G with a Haar system too. (G,K) is a Gelfand pair if the algebra of K-biinvariant functions is commutative under convolution. In this paper, we study spherical functions on groupoids and generalize some well-known results on groups.

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