locally compact Abelian groups
GPTKB entity
Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
topological groups
Abelian groups |
| gptkbp:example |
gptkb:the_circle_group
finite Abelian groups p-adic numbers under addition the integers with discrete topology the real numbers under addition |
| gptkbp:field |
gptkb:mathematics
gptkb:topology group theory harmonic analysis |
| gptkbp:heldBy |
gptkb:group_of_people
gptkb:topology gptkb:Haar_measure Abelian group |
| https://www.w3.org/2000/01/rdf-schema#label |
locally compact Abelian groups
|
| gptkbp:important_theorem |
gptkb:Pontryagin_duality
gptkb:Structure_theorem_for_locally_compact_Abelian_groups |
| gptkbp:property |
commutative
locally compact |
| gptkbp:studiedBy |
gptkb:Lev_Pontryagin
|
| gptkbp:used_in |
Fourier analysis
number theory representation theory abstract harmonic analysis |
| gptkbp:bfsParent |
gptkb:Abelian_Lie_groups
|
| gptkbp:bfsLayer |
6
|