Semi-measures and their Fourier transform
Timo Spindeler, Nicolae Strungaru
TL;DR
This paper extends the theory of semi-measures on locally compact Abelian groups and proves a generalized Eberlein decomposition for these semi-measures, broadening the understanding of their structure.
Contribution
It introduces a generalized Eberlein decomposition for semi-measures on locally compact Abelian groups, expanding the theoretical framework.
Findings
Established the existence of a generalized Eberlein decomposition.
Extended the basic theory of semi-measures.
Provided new insights into the structure of semi-measures.
Abstract
The basic theory of semi-measures on locally compact Abelian groups is extended to prove the existence of a generalised Eberlein decomposition into such semi-measures.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Mathematical Analysis and Transform Methods · Advanced Topology and Set Theory