Add to ORKGIn this paper, we develop a new approach that allows to identify the Gelfand spectrum of weighted Fourier algebras as a subset of an abstract complexification of the corresponding group for a wide class of groups and weights. This generalizes recent related results of Ghandehari-Lee-Ludwig-Spronk-Turowska (Adv. Math. 2021) about the spectrum of Beurling-Fourier algebras on some Lie groups. In the case of discrete groups we show that the spectrum of Beurling-Fourier algebra is homeomorphic to $G$.Comment: The previous paper is splited in two parts. This is the first part. It also contains numerous changes and new result
The spectral decomposition of the space L^2(G) as a direct sum or direct integral is discussed in fo...
Weighted group algebras have been studied extensively in Abstract Harmonic Analysis.Complete charact...
AbstractFor locally compact groups, Fourier algebras and Fourier–Stieltjes algebras have proven to b...
AbstractFor a compact group G we define the Beurling–Fourier algebra Aω(G) on G for weights ω:Gˆ→R>0...
In this paper, we develop a new approach that allows to identify the Gelfand spectrum of weighted Fo...
For a compact group G we define the Beurling-Fourier algebra A(omega)(G) on G for weights omega: (G)...
For a compact group $G$ we define the Beurling-Fourier algebra $A_\omega(G)$ on $G$ for weights $\om...
A few minor updates, to appear in Adv. Math.; 88 pagesWe investigate Beurling-Fourier algebras, a we...
AbstractWe introduce the class of Beurling–Fourier algebras on locally compact groups and show that ...
In this paper we study weighted versions of Fourier algebras of compact quantum groups. We focus on ...
In this paper we prove a strong version of Hardy's theorem for the group Fourier transform on semisi...
AbstractThe Fourier-Stieltjes algebra of an arbitrary locally compact group G is the set of all fini...
Let G be a compactly generated, locally compact group with polynomial growth and let ! be a weight o...
AbstractThe classical definitions of the Fourier algebrasB(G) andA(G) of a locally compact group are...
The Beurling algebra L1(G,ω)on a locally compact Abelian group G with a measurable weight ω is shown...
The spectral decomposition of the space L^2(G) as a direct sum or direct integral is discussed in fo...
Weighted group algebras have been studied extensively in Abstract Harmonic Analysis.Complete charact...
AbstractFor locally compact groups, Fourier algebras and Fourier–Stieltjes algebras have proven to b...
AbstractFor a compact group G we define the Beurling–Fourier algebra Aω(G) on G for weights ω:Gˆ→R>0...
In this paper, we develop a new approach that allows to identify the Gelfand spectrum of weighted Fo...
For a compact group G we define the Beurling-Fourier algebra A(omega)(G) on G for weights omega: (G)...
For a compact group $G$ we define the Beurling-Fourier algebra $A_\omega(G)$ on $G$ for weights $\om...
A few minor updates, to appear in Adv. Math.; 88 pagesWe investigate Beurling-Fourier algebras, a we...
AbstractWe introduce the class of Beurling–Fourier algebras on locally compact groups and show that ...
In this paper we study weighted versions of Fourier algebras of compact quantum groups. We focus on ...
In this paper we prove a strong version of Hardy's theorem for the group Fourier transform on semisi...
AbstractThe Fourier-Stieltjes algebra of an arbitrary locally compact group G is the set of all fini...
Let G be a compactly generated, locally compact group with polynomial growth and let ! be a weight o...
AbstractThe classical definitions of the Fourier algebrasB(G) andA(G) of a locally compact group are...
The Beurling algebra L1(G,ω)on a locally compact Abelian group G with a measurable weight ω is shown...
The spectral decomposition of the space L^2(G) as a direct sum or direct integral is discussed in fo...
Weighted group algebras have been studied extensively in Abstract Harmonic Analysis.Complete charact...
AbstractFor locally compact groups, Fourier algebras and Fourier–Stieltjes algebras have proven to b...