A Converse of the Volume-Mean-Value Property for Invariantly Harmonic Functions

DOI10.2307/2161170zbMath0816.31003OpenAlexW4253932648MaRDI QIDQ4318333

Jacqueline Detraz, Joaquim Bruna

Publication date: 22 February 1995

Full work available at URL: https://doi.org/10.2307/2161170

zbMATH Keywords

harmonic functionsmean value propertyinvariant Laplacian

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Holomorphic functions of several complex variables (32A99)

Related Items (3)

Polytopes and the mean value property ⋮ Evaluation of controller performance—use of models derived by subspace identification ⋮ Process and controller performance monitoring: overview with industrial applications

Cites Work

• Unnamed Item
• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• An invariant volume-mean-value property
• A uniqueness theorem for invariantly harmonic functions in the unit ball of \(\mathbb{C}^ n\)
• The volume mean-value property of harmonic functions
• Shorter Notes: On the Mean-Value Property of Harmonic Functions
• On the Mean-Value Property of Harmonic Functions

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