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- Positive_harmonic_function abstract "In mathematics, a positive harmonic function on the unit disc in the complex numbers is characterized as the Poisson integral of a finite positive measure on the circle. This result, the Herglotz representation theorem, was proved by Gustav Herglotz in 1911. It can be used to give a related formula and characterization for any holomorphic function on the unit disc with positive real part. Such functions had already been characterized in 1907 by Constantin Carathéodory in terms of the positive definiteness of their Taylor coefficients.".
- Positive_harmonic_function wikiPageID "34151069".
- Positive_harmonic_function wikiPageLength "4462".
- Positive_harmonic_function wikiPageOutDegree "17".
- Positive_harmonic_function wikiPageRevisionID "638359485".
- Positive_harmonic_function wikiPageWikiLink Bochners_theorem.
- Positive_harmonic_function wikiPageWikiLink Category:Complex_analysis.
- Positive_harmonic_function wikiPageWikiLink Category:Harmonic_analysis.
- Positive_harmonic_function wikiPageWikiLink Category:Harmonic_functions.
- Positive_harmonic_function wikiPageWikiLink Complex_number.
- Positive_harmonic_function wikiPageWikiLink Complex_numbers.
- Positive_harmonic_function wikiPageWikiLink Constantin_Carathéodory.
- Positive_harmonic_function wikiPageWikiLink Gustav_Herglotz.
- Positive_harmonic_function wikiPageWikiLink Hellys_selection_theorem.
- Positive_harmonic_function wikiPageWikiLink Holomorphic_function.
- Positive_harmonic_function wikiPageWikiLink Mathematics.
- Positive_harmonic_function wikiPageWikiLink Measure_(mathematics).
- Positive_harmonic_function wikiPageWikiLink Poisson_integral.
- Positive_harmonic_function wikiPageWikiLink Poisson_kernel.
- Positive_harmonic_function wikiPageWikiLink Positive-definite_function_on_a_group.
- Positive_harmonic_function wikiPageWikiLink Positive_definite_function_on_a_group.
- Positive_harmonic_function wikiPageWikiLink Positive_measure.
- Positive_harmonic_function wikiPageWikiLink Probability_measure.
- Positive_harmonic_function wikiPageWikiLink Riemann–Stieltjes_integral.
- Positive_harmonic_function wikiPageWikiLink Stieltjes_integral.
- Positive_harmonic_function wikiPageWikiLink Taylor_coefficient.
- Positive_harmonic_function wikiPageWikiLink Taylor_series.
- Positive_harmonic_function wikiPageWikiLink Unit_disc.
- Positive_harmonic_function wikiPageWikiLink Unit_disk.
- Positive_harmonic_function wikiPageWikiLinkText "Herglotz representation theorem".
- Positive_harmonic_function wikiPageWikiLinkText "Positive harmonic function".
- Positive_harmonic_function hasPhotoCollection Positive_harmonic_function.
- Positive_harmonic_function wikiPageUsesTemplate Template:Citation.
- Positive_harmonic_function subject Category:Complex_analysis.
- Positive_harmonic_function subject Category:Harmonic_analysis.
- Positive_harmonic_function subject Category:Harmonic_functions.
- Positive_harmonic_function type Article.
- Positive_harmonic_function type Article.
- Positive_harmonic_function comment "In mathematics, a positive harmonic function on the unit disc in the complex numbers is characterized as the Poisson integral of a finite positive measure on the circle. This result, the Herglotz representation theorem, was proved by Gustav Herglotz in 1911. It can be used to give a related formula and characterization for any holomorphic function on the unit disc with positive real part.".
- Positive_harmonic_function label "Positive harmonic function".
- Positive_harmonic_function sameAs m.0hr0k3j.
- Positive_harmonic_function sameAs Q7233271.
- Positive_harmonic_function sameAs Q7233271.
- Positive_harmonic_function wasDerivedFrom Positive_harmonic_function?oldid=638359485.
- Positive_harmonic_function isPrimaryTopicOf Positive_harmonic_function.