A note on measures vanishing at infinity
Timo Spindeler, Nicolae Strungaru
TL;DR
This paper reviews measures that diminish at infinity and proves a version of the Riemann--Lebesgue lemma for Fourier transformable measures, enhancing understanding of their properties.
Contribution
It introduces a new version of the Riemann--Lebesgue lemma applicable to measures vanishing at infinity, expanding theoretical knowledge.
Findings
Measures vanishing at infinity have specific decay properties.
A generalized Riemann--Lebesgue lemma is established for Fourier transformable measures.
The results deepen the theoretical framework of harmonic analysis.
Abstract
In this paper, we review the basic properties of measures vanishing at infinity and prove a version of the Riemann--Lebesgue lemma for Fourier transformable measures.
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