Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
locally compact abelian groups
|
| gptkbp:describes |
characterization of positive-definite functions
|
| gptkbp:field |
gptkb:probability_theory
harmonic analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Bochner's theorem
|
| gptkbp:namedAfter |
gptkb:Salomon_Bochner
|
| gptkbp:publicationYear |
1932
|
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Fourier_transform
gptkb:characteristic_function_(probability_theory) measure theory probability measure positive-definite function |
| gptkbp:state |
A function on the real line is the Fourier transform of a finite positive Borel measure if and only if it is continuous, positive-definite, and normalized at zero.
|
| gptkbp:bfsParent |
gptkb:Salomon_Bochner
|
| gptkbp:bfsLayer |
5
|