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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 wikiPageRevisionID "603435393".
- Positive_harmonic_function hasPhotoCollection Positive_harmonic_function.
- Positive_harmonic_function subject Category:Complex_analysis.
- Positive_harmonic_function subject Category:Harmonic_analysis.
- 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=603435393.
- Positive_harmonic_function isPrimaryTopicOf Positive_harmonic_function.