(American Mathematical Society, 2020) Çelik, Şermin Çam; Göral, H.; Natural and Mathematical Sciences; ÇAM ÇELİK, Şermin
The classification of the irreducible unitary representations of the stabilizer of the horocycles of a homogeneous tree of finite degree is well-known. In this article we use these stabilizers to form an Olshanski pair and then find all spherical functions of this pair. Finally we give realizations of the corresponding irreducible unitary representations.
