Herglotz-Riesz representation theorem
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:appliesTo |
gptkb:Hardy_space
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| gptkbp:concerns |
gptkb:unit_disk
analytic functions positive real part |
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Herglotz-Riesz representation theorem
|
| gptkbp:namedAfter |
gptkb:Gustav_Herglotz
gptkb:Marcel_Riesz |
| gptkbp:relatedTo |
gptkb:Carathéodory's_theorem
gptkb:Poisson_integral_formula |
| gptkbp:state |
Every analytic function on the unit disk with positive real part can be represented as an integral with respect to a positive finite measure on the unit circle.
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| gptkbp:bfsParent |
gptkb:Gustav_Herglotz
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| gptkbp:bfsLayer |
5
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