Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
function space
|
| gptkbp:contains |
continuous functions with compact support
|
| gptkbp:domain |
locally compact group G
|
| gptkbp:has_identity_element |
if and only if G is discrete
|
| gptkbp:heldBy |
gptkb:Hilbert_space
gptkb:normed_vector_space gptkb:C*-algebra topological vector space commutative algebra (if G is abelian) non-commutative algebra (if G is non-abelian) space of integrable functions |
| https://www.w3.org/2000/01/rdf-schema#label |
L^1(G)
|
| gptkbp:norm |
integral of absolute value
|
| gptkbp:operator |
convolution
|
| gptkbp:used_in |
harmonic analysis
representation theory |
| gptkbp:bfsParent |
gptkb:L^1_group_algebra
|
| gptkbp:bfsLayer |
6
|