L...-harmonic Analysis on Semi-Direct products of Abelian Groups.
A Plancherel measure for the discrete Heisenberg group
Spherical functions and uniformly bounded representations of free groups
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.
Harmonic functions and Hardy spaces on trees with boundaries
A construction of convolution operators on free groups
Radial convolutors on free groups
Analytic semigroups in Banach algebras and a theorem of Hille
Unitary multipliers on
Weak type radial convolution operators on free groups
Radial convolution operators on free groups with nonnegative kernel of weak type (2,2) and of restricted weak type (2,2) are characterized. Estimates of weak type (p,p) are obtained as well for 1 < p < 2.
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