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This subtopic studies locally compact abelian groups, focusing on harmonic analysis, Pontryagin duality, and structural classification in the locally compact setting.
22B05 studies general properties and structure of lca groups in locally compact abelian groups. It studies harmonic-analytic and structural properties of locally compact abelian groups, with emphasis on duality and decomposition.
Locally Compact Abelian Groups (Wikipedia)
Used in harmonic analysis, Pontryagin duality, and the structure theory of topological abelian groups.
22B10 studies structure of group algebras of lca groups in locally compact abelian groups. It studies harmonic-analytic and structural properties of locally compact abelian groups, with emphasis on duality and decomposition.
Locally Compact Abelian Groups (Wikipedia)
Used in harmonic analysis, Pontryagin duality, and the structure theory of topological abelian groups.