Nevanlinna class
E1328167
UNEXPLORED
The Nevanlinna class is a collection of holomorphic functions on the unit disk (or upper half-plane) whose logarithmic modulus has a harmonic majorant, playing a central role in complex analysis and function theory alongside Hardy spaces.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Nevanlinna class canonical | 4 |
How this entity was disambiguated
This entity first appeared as the object of triple T18495149 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Nevanlinna class Context triple: [Hardy space, relatedConcept, Nevanlinna class]
-
A.
Nevanlinna theory
Nevanlinna theory is a branch of complex analysis that studies the value distribution of meromorphic functions, quantifying how often they take or omit certain values.
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B.
Picard theorem
Picard theorem is a fundamental result in complex analysis stating that entire non-constant functions take on all possible complex values, with at most one exception.
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C.
Borel–Carathéodory theorem
The Borel–Carathéodory theorem is a result in complex analysis that provides bounds on the modulus of a holomorphic function inside a disk in terms of the maximum of its real part on a larger concentric disk.
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D.
Corona theorem
The Corona theorem is a fundamental result in complex analysis that characterizes when bounded analytic functions on the unit disk can be solved in a certain type of division problem, showing that the maximal ideal space of the disk algebra has no "corona."
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E.
Casorati–Weierstrass theorem
The Casorati–Weierstrass theorem is a fundamental result in complex analysis stating that near an essential singularity, a complex function attains values arbitrarily close to every complex number.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Nevanlinna class Target entity description: The Nevanlinna class is a collection of holomorphic functions on the unit disk (or upper half-plane) whose logarithmic modulus has a harmonic majorant, playing a central role in complex analysis and function theory alongside Hardy spaces.
-
A.
Nevanlinna theory
Nevanlinna theory is a branch of complex analysis that studies the value distribution of meromorphic functions, quantifying how often they take or omit certain values.
-
B.
Picard theorem
Picard theorem is a fundamental result in complex analysis stating that entire non-constant functions take on all possible complex values, with at most one exception.
-
C.
Borel–Carathéodory theorem
The Borel–Carathéodory theorem is a result in complex analysis that provides bounds on the modulus of a holomorphic function inside a disk in terms of the maximum of its real part on a larger concentric disk.
-
D.
Corona theorem
The Corona theorem is a fundamental result in complex analysis that characterizes when bounded analytic functions on the unit disk can be solved in a certain type of division problem, showing that the maximal ideal space of the disk algebra has no "corona."
-
E.
Casorati–Weierstrass theorem
The Casorati–Weierstrass theorem is a fundamental result in complex analysis stating that near an essential singularity, a complex function attains values arbitrarily close to every complex number.
- F. None of above. chosen
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.