A note on tempered measures
Michael Baake (Bielefeld), Nicolae Strungaru (Edmonton)
TL;DR
This paper explores the complex relationship between tempered distributions and measures, highlighting the subtle differences that arise when dealing with signed or complex measures compared to positive measures.
Contribution
It clarifies the nuanced distinctions in the relationship between tempered distributions and measures, especially for signed or complex measures.
Findings
The relation is straightforward for positive measures.
The relation is subtle for signed or complex measures.
Provides clarification on tempered measures and distributions.
Abstract
The relation between tempered distributions and measures is analysed and clarified. While this is straightforward for positive measures, it is surprisingly subtle for signed or complex measures.
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