Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:unit_circle
|
| gptkbp:describes |
representation of positive definite functions
|
| gptkbp:field |
gptkb:mathematics
complex analysis harmonic analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Herglotz's theorem
|
| gptkbp:namedAfter |
gptkb:Gustav_Herglotz
|
| gptkbp:relatedTo |
gptkb:Bochner's_theorem
Fourier analysis positive definite function |
| gptkbp:state |
Every positive definite function on the integers is the Fourier transform of a positive measure on the unit circle
|
| gptkbp:usedIn |
gptkb:probability_theory
gptkb:signal_processing |
| gptkbp:yearProposed |
1911
|
| gptkbp:bfsParent |
gptkb:Gustav_Herglotz
|
| gptkbp:bfsLayer |
5
|