Geodesic
Spherical functions and uniformly bounded representations of free groups
Studia Mathematica, Tome 100 (1991) no. 3, pp. 237-250

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give a construction of an analytic series of uniformly bounded representations of a free group G, through the action of G on its Poisson boundary. These representations are irreducible and give as their coefficients all the spherical functions on G which tend to zero at infinity. The principal and the complementary series of unitary representations are included. We also prove that this construction and the other known constructions lead to equivalent representations.
DOI : 10.4064/sm-100-3-237-250
Keywords: free group, uniformly bounded representation, spherical functions

Tadeusz Pytlik 1

1 
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Tadeusz Pytlik. Spherical functions and uniformly bounded representations of free groups. Studia Mathematica, Tome 100 (1991) no. 3, pp. 237-250. doi: 10.4064/sm-100-3-237-250

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