TL;DR
This paper extends Pontryagin duality to a broader class of mathematical structures called locally compact Hausdorff abelian group bundles, providing a new duality framework.
Contribution
It generalizes Pontryagin duality from groups to group bundles, expanding the scope of duality theory in harmonic analysis.
Findings
Established a duality for locally compact Hausdorff abelian group bundles.
Connected classical Pontryagin duality to the bundle setting.
Provided foundational results for further research in duality theories.
Abstract
This paper introduces a generalization of Pontryagin duality for locally compact Hausdorff abelian groups to locally compact Hausdorff abelian group bundles.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topology and Set Theory · Advanced Banach Space Theory