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Subharmonic function

In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory.

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Overview

Formal definition

Properties

Examples

Riesz Representation Theorem

Subharmonic functions in the complex plane

Subharmonic functions on Riemannian manifolds

General references

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Map overview Semantic statistics

Subharmonic function

Nodes55
Edges54
Triples19
Avg. degree1.96
Density0.036364
Components1

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Subharmonic function

Top relations

related to Properties · 7
Subharmonic function → C2, Delta, However, If, Laplacian, Subharmonic, The
related to Subharmonic functions on Riemannian manifolds · 6
Subharmonic function → Assume, Definition, Let, Riemannian, Subharmonic, Then
related to Examples · 3
Subharmonic function → If, In, More
related to Subharmonic functions in the complex plane · 2
Subharmonic function → One, Subharmonic
see also · 1
Subharmonic function → Plurisubharmonic

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Important terminology

subharmonic function functions displaystyle harmonic complex superharmonic varphi leq one convex also called follows defined definition unit maximum subset mathbb

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Subharmonic functionrelated to ExamplesIf0.60section
Subharmonic functionrelated to ExamplesMore0.60section
Subharmonic functionrelated to ExamplesIn0.60section
Subharmonic functionrelated to PropertiesIf0.60section
Subharmonic functionrelated to PropertiesC20.60section
Subharmonic functionrelated to PropertiesDelta0.60section
Subharmonic functionrelated to PropertiesLaplacian0.60section
Subharmonic functionrelated to PropertiesThe0.60section
Subharmonic functionrelated to PropertiesHowever0.60section
Subharmonic functionrelated to PropertiesSubharmonic0.60section
Subharmonic functionrelated to Subharmonic functions in the complex planeSubharmonic0.60section
Subharmonic functionrelated to Subharmonic functions in the complex planeOne0.60section

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    Min side: 3
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