Beurling-Fourier Algebras and Complexification
Preprint, 2020

In 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 some recent results of Ghandehari-Lee-Ludwig-Spronk-Turowska on the spectrum of Beurling-Fourier algebras on some Lie groups. In the case of discrete groups we consider a more general concept of weights and classify them in terms of finite subgroups.

Beurling-Fourier algebra




Olof Giselsson

University of Oslo

Lyudmyla Turowska

Chalmers, Mathematical Sciences, Analysis and Probability Theory


Basic sciences

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Mathematical Analysis

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