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.

group, Beurling-Fourier algebra, spectrum

Author

Olof Giselsson

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Lyudmyla Turowska

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Roots

Basic sciences

Subject Categories

Mathematical Analysis

More information

Created

12/11/2020