Beurling-Fourier algebras on compact groups: Spectral theory
Artikel i vetenskaplig tidskrift, 2012

For a compact group G we define the Beurling-Fourier algebra A(omega)(G) on G for weights omega: (G) over cap -> R(>0). The classical Fourier algebra corresponds to the case omega is the constant weight I. We study the Gelfand spectrum of the algebra realising it as a subset of the complexification G(C) defined by McKennon and Cartwright and McMullen. In many cases, such as for polynomial weights, the spectrum is simply G. We discuss the questions when the algebra A(omega)(G) is symmetric and regular. We also obtain various results concerning spectral synthesis for A(omega)(G).

lie-groups

smooth

Beurling-Fourier algebra

Spectral synthesis

Författare

J. Ludwig

Universite Paul Verlaine - Metz

N. Spronk

University of Waterloo

Lyudmyla Turowska

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Journal of Functional Analysis

0022-1236 (ISSN) 1096-0783 (eISSN)

Vol. 262 463-499

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper

DOI

10.1016/j.jfa.2011.09.017