Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Hilbert_space
function space |
| gptkbp:basisFor |
orthonormal basis
|
| gptkbp:complete |
true
|
| gptkbp:containsElement |
square-integrable functions
|
| gptkbp:definedIn |
measure space
|
| gptkbp:dualSpaceIs |
itself
|
| gptkbp:generalizes |
gptkb:Euclidean_space
|
| gptkbp:hasSubgroup |
gptkb:Lp_space
|
| https://www.w3.org/2000/01/rdf-schema#label |
L^2 space
|
| gptkbp:importantFor |
gptkb:signal_processing
functional analysis quantum mechanics |
| gptkbp:innerProductDefinedBy |
integral of product
|
| gptkbp:namedFor |
gptkb:Lebesgue
|
| gptkbp:normDefinedBy |
L^2 norm
|
| gptkbp:notation |
gptkb:L^2(X,_μ)
L^2 |
| gptkbp:separates |
true
|
| gptkbp:usedFor |
Fourier analysis
|
| gptkbp:bfsParent |
gptkb:L^p_space
|
| gptkbp:bfsLayer |
5
|