The Beurling algebra L1(G,ω)on a locally compact Abelian group G with a measurable weight ω is shown to be semisimple. This gives an elementary proof of a result that is implicit in the work of M.C. White (1991), where the arguments are based on amenable (not necessarily Abelian) groups
Let G be a reductive connected linear algebraic group over an algebraically closed field of positive...
This thesis concerns the theory of Banach algebras, particularly those coming from abstract harmonic...
AbstractFor a compact group G we define the Beurling–Fourier algebra Aω(G) on G for weights ω:Gˆ→R>0...
The Beurling algebra L1 (G, w) on a locally compact Abelian group O with a measur-able weight u is s...
AbstractWe introduce the class of Beurling–Fourier algebras on locally compact groups and show that ...
In this paper, we study weak amenability of Beurling algebras. To this end, we introduce the notion ...
AbstractWe prove that if T is a strongly based continuous bounded representation of a locally compac...
Given a locally compact abelian group G with a measurable weight ω, it is shown that the Beurling al...
We prove that the bidual of a Beurling algebra on Z , considered as a Banach algebra with the first ...
In this paper we prove a strong version of Hardy's theorem for the group Fourier transform on semisi...
AbstractLet A be a von Neumann algebra, let σ be a strongly continuous representation of the locally...
AbstractIt is proved that for an [FC]− group G, the Beurling algebra Lω1(G) is ∗-regular if and only...
AbstractThe Fourier-Stieltjes algebra of an arbitrary locally compact group G is the set of all fini...
In this paper, we develop a new approach that allows to identify the Gelfand spectrum of weighted Fo...
AbstractThe class [S] of locally compact groups G is considered, for which the algebra L1(G) is symm...
Let G be a reductive connected linear algebraic group over an algebraically closed field of positive...
This thesis concerns the theory of Banach algebras, particularly those coming from abstract harmonic...
AbstractFor a compact group G we define the Beurling–Fourier algebra Aω(G) on G for weights ω:Gˆ→R>0...
The Beurling algebra L1 (G, w) on a locally compact Abelian group O with a measur-able weight u is s...
AbstractWe introduce the class of Beurling–Fourier algebras on locally compact groups and show that ...
In this paper, we study weak amenability of Beurling algebras. To this end, we introduce the notion ...
AbstractWe prove that if T is a strongly based continuous bounded representation of a locally compac...
Given a locally compact abelian group G with a measurable weight ω, it is shown that the Beurling al...
We prove that the bidual of a Beurling algebra on Z , considered as a Banach algebra with the first ...
In this paper we prove a strong version of Hardy's theorem for the group Fourier transform on semisi...
AbstractLet A be a von Neumann algebra, let σ be a strongly continuous representation of the locally...
AbstractIt is proved that for an [FC]− group G, the Beurling algebra Lω1(G) is ∗-regular if and only...
AbstractThe Fourier-Stieltjes algebra of an arbitrary locally compact group G is the set of all fini...
In this paper, we develop a new approach that allows to identify the Gelfand spectrum of weighted Fo...
AbstractThe class [S] of locally compact groups G is considered, for which the algebra L1(G) is symm...
Let G be a reductive connected linear algebraic group over an algebraically closed field of positive...
This thesis concerns the theory of Banach algebras, particularly those coming from abstract harmonic...
AbstractFor a compact group G we define the Beurling–Fourier algebra Aω(G) on G for weights ω:Gˆ→R>0...