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Spherical functions and uniformly bounded representations of free groups

100%

Pytlik T.

Studia Mathematica

1991

tom 100

nr 3

237-250

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.

Invariant operators on function spaces on homogeneous trees

100%

Cowling M., Meda S., Setti A. G.

Colloquium Mathematicum

1999

tom 80

nr 1

53-61

Ograniczanie wyników

1 Colloquium Mathematicum

1 Studia Mathematica

1 Cowling M.

1 Meda S.

1 Pytlik T.

1 Setti A. G.

1 1999

1 1991

Wyniki wyszukiwania

Spherical functions and uniformly bounded representations of free groups

Invariant operators on function spaces on homogeneous trees