Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
Fourier analysis
representation theory |
| gptkbp:completionOf |
gptkb:group_algebra_of_G
|
| gptkbp:defines |
The L^1 group algebra of a locally compact group G is the Banach algebra of integrable functions on G with convolution as multiplication.
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
abstract algebra
harmonic analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
L^1 group algebra
|
| gptkbp:notation |
gptkb:L^1(G)
|
| gptkbp:operator |
convolution
|
| gptkbp:property |
involutive algebra if G is unimodular
unit element if G is discrete |
| gptkbp:relatedTo |
gptkb:C*-algebra
gptkb:measure_algebra group algebra locally compact group |
| gptkbp:structure |
gptkb:Hilbert_space
algebra over complex numbers |
| gptkbp:bfsParent |
gptkb:C*-algebra
|
| gptkbp:bfsLayer |
5
|