Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616050 | Journal of Mathematical Analysis and Applications | 2014 | 6 Pages |
Abstract
In 2004 a counterexample was given for a 1965 result of R.J. Elliott claiming that discrete spectral synthesis holds on every Abelian group. Here we present a ring-theoretical approach to this problem, and show that some varieties fail to have spectral synthesis. In particular, we give a new proof for the result of the second author that spectral synthesis does not hold on Abelian groups with infinite torsion free rank.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gábor Horváth, László Székelyhidi, Bettina Wilkens,