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- Subharmonic_function abstract "In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory.Intuitively, subharmonic functions are related to convex functions of one variable as follows. If the graph of a convex function and a line intersect at two points, then the graph of the convex function is below the line between those points. In the same way, if the values of a subharmonic function are no larger than the values of a harmonic function on the boundary of a ball, then the values of the subharmonic function are no larger than the values of the harmonic function also inside the ball.Superharmonic functions can be defined by the same description, only replacing \"no larger\" with \"no smaller\". Alternatively, a superharmonic function is just the negative of a subharmonic function, and for this reason any property of subharmonic functions can be easily transferred to superharmonic functions.".
- Subharmonic_function wikiPageID "3237359".
- Subharmonic_function wikiPageLength "10524".
- Subharmonic_function wikiPageOutDegree "52".
- Subharmonic_function wikiPageRevisionID "686473042".
- Subharmonic_function wikiPageWikiLink Additive_inverse.
- Subharmonic_function wikiPageWikiLink Arithmetic_mean.
- Subharmonic_function wikiPageWikiLink Ball_(mathematics).
- Subharmonic_function wikiPageWikiLink Boundary_(topology).
- Subharmonic_function wikiPageWikiLink Category:Complex_analysis.
- Subharmonic_function wikiPageWikiLink Category:Potential_theory.
- Subharmonic_function wikiPageWikiLink Category:Subharmonic_functions.
- Subharmonic_function wikiPageWikiLink Category:Types_of_functions.
- Subharmonic_function wikiPageWikiLink Complex_analysis.
- Subharmonic_function wikiPageWikiLink Continuous_function.
- Subharmonic_function wikiPageWikiLink Convex_cone.
- Subharmonic_function wikiPageWikiLink Convex_function.
- Subharmonic_function wikiPageWikiLink Dominated_convergence_theorem.
- Subharmonic_function wikiPageWikiLink Euclidean_space.
- Subharmonic_function wikiPageWikiLink Fine_topology_(potential_theory).
- Subharmonic_function wikiPageWikiLink Function_(mathematics).
- Subharmonic_function wikiPageWikiLink Graph_of_a_function.
- Subharmonic_function wikiPageWikiLink Hardy_space.
- Subharmonic_function wikiPageWikiLink Hardy–Littlewood_maximal_function.
- Subharmonic_function wikiPageWikiLink Harmonic_function.
- Subharmonic_function wikiPageWikiLink Holomorphic_function.
- Subharmonic_function wikiPageWikiLink If_and_only_if.
- Subharmonic_function wikiPageWikiLink Interior_(topology).
- Subharmonic_function wikiPageWikiLink Laplace_operator.
- Subharmonic_function wikiPageWikiLink Lp_space.
- Subharmonic_function wikiPageWikiLink Mathematics.
- Subharmonic_function wikiPageWikiLink Maxima_and_minima.
- Subharmonic_function wikiPageWikiLink Maximum_principle.
- Subharmonic_function wikiPageWikiLink Open_set.
- Subharmonic_function wikiPageWikiLink Partial_differential_equation.
- Subharmonic_function wikiPageWikiLink Plurisubharmonic_function.
- Subharmonic_function wikiPageWikiLink Poisson_kernel.
- Subharmonic_function wikiPageWikiLink Potential_theory.
- Subharmonic_function wikiPageWikiLink Real_number.
- Subharmonic_function wikiPageWikiLink Region_(mathematics).
- Subharmonic_function wikiPageWikiLink Riemannian_manifold.
- Subharmonic_function wikiPageWikiLink Semi-continuity.
- Subharmonic_function wikiPageWikiLink Several_complex_variables.
- Subharmonic_function wikiPageWikiLink Smoothness.
- Subharmonic_function wikiPageWikiLink Springer_Science+Business_Media.
- Subharmonic_function wikiPageWikiLinkText "Subharmonic function".
- Subharmonic_function wikiPageWikiLinkText "Theory of subharmonic functions".
- Subharmonic_function wikiPageWikiLinkText "subharmonic function".
- Subharmonic_function wikiPageWikiLinkText "subharmonic".
- Subharmonic_function id "5796".
- Subharmonic_function title "Subharmonic and superharmonic functions".
- Subharmonic_function wikiPageUsesTemplate Template:Cite_book.
- Subharmonic_function wikiPageUsesTemplate Template:PlanetMath_attribution.
- Subharmonic_function subject Category:Complex_analysis.
- Subharmonic_function subject Category:Potential_theory.
- Subharmonic_function subject Category:Subharmonic_functions.
- Subharmonic_function subject Category:Types_of_functions.
- Subharmonic_function hypernym Classes.
- Subharmonic_function type MeanOfTransportation.
- Subharmonic_function type Type.
- Subharmonic_function type Function.
- Subharmonic_function type Source.
- Subharmonic_function type Type.
- Subharmonic_function comment "In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory.Intuitively, subharmonic functions are related to convex functions of one variable as follows. If the graph of a convex function and a line intersect at two points, then the graph of the convex function is below the line between those points.".
- Subharmonic_function label "Subharmonic function".
- Subharmonic_function sameAs Q753658.
- Subharmonic_function sameAs Subharmonische_Funktion.
- Subharmonic_function sameAs Subharmoninen_funktio.
- Subharmonic_function sameAs Fonction_sous-harmonique.
- Subharmonic_function sameAs Funzione_subarmonica.
- Subharmonic_function sameAs 劣調和函数.
- Subharmonic_function sameAs m.090f2v.
- Subharmonic_function sameAs Субгармоническая_функция.
- Subharmonic_function sameAs Q753658.
- Subharmonic_function sameAs 次调和函数.
- Subharmonic_function wasDerivedFrom Subharmonic_function?oldid=686473042.
- Subharmonic_function isPrimaryTopicOf Subharmonic_function.