Sur les fonctions finement holomorphes

DOI10.5802/aif.849zbMath0445.30040OpenAlexW2328705797MaRDI QIDQ1145256

Bent Fuglede

Publication date: 1981

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1981__31_4_57_0

zbMATH Keywords

Beppo Levi functionCauchy-Pompeiu transformfinely holomorphic functions

Mathematics Subject Classification ID

Monogenic and polygenic functions of one complex variable (30A05) Generalized function theory (30G99)

Related Items (17)

Finely holomorphic functions and quasi-analytic classes ⋮ Rational approximation and weak analyticity. II ⋮ Finely holomorphic functions and finely harmonic morphisms ⋮ The Dirichlet problem for \(p\)-minimizers on finely open sets in metric spaces ⋮ Pluripolar hulls and fine holomorphy ⋮ On the mean value property of finely harmonic and finely hyperharmonic functions ⋮ Finely continuously differentiable functions ⋮ Finely locally injective finely harmonic morphisms ⋮ Plurisubharmonic and holomorphic functions relative to the plurifine topology ⋮ Pluripolar hulls and fine analytic structure ⋮ Shcherbina's theorem for finely holomorphic functions ⋮ Valuations on Meromorphic Functions of Bounded Type ⋮ Domains of existence for finely holomorphic functions ⋮ Fine-analytic Functions in C ⁿ ⋮ Finely harmonic morphisms, Brownian path preserving functions and conformal martingales ⋮ An application of fine potential theory to prove a Phragmen-Lindelöf theorem ⋮ Rational approximation and weak analyticity. I

Cites Work

• Finely holomorphic functions
• A theorem in fine potential theory and applications to finely holomorphic functions
• Potentiel fin et algèbres de fonctions analytiques. I
• Potentiel fin et algèbres de fonctions analytiques. II
• Invariant characterization of the fine topology in potential theory
• Asymptotic paths for subharmonic functions
• Fonctions harmoniques et fonctions finement harmoniques
• Sur la fonction de Green pour un domaine fin
• Connexion en topologie fine et balayage des mesures. (Connection on fine topology and balayage of measures.)
• Finely harmonic functions
• Introduction axiomatique de l'effilement
• Les espaces du type de Beppo Levi
• Finely harmonic mappings and finely holomorphic mappings
• A nontrivial normal sup norm algebra
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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