Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
L^2 spaces
|
| gptkbp:field |
functional analysis
mathematical analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Riesz–Fischer theorem
|
| gptkbp:importantFor |
establishes the completeness of L^2 spaces
foundation for Hilbert space theory |
| gptkbp:namedAfter |
gptkb:Ernst_Sigismund_Fischer
gptkb:Frigyes_Riesz |
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Hilbert_space
gptkb:Parseval's_theorem Fourier series |
| gptkbp:sentence |
Every square-summable sequence is the sequence of Fourier coefficients of an L^2 function
L^2 space is complete |
| gptkbp:yearProved |
1907
|
| gptkbp:bfsParent |
gptkb:Frigyes_Riesz
|
| gptkbp:bfsLayer |
5
|