Mean-value properties of real analytic functions

DOI10.1007/S00013-011-0336-0zbMath1236.31005OpenAlexW2159444952MaRDI QIDQ663173

Grzegorz Łysik

Publication date: 14 February 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0336-0

zbMATH Keywords

heat equationentire functionreal analytic functionPizzetti's formula

Mathematics Subject Classification ID

Heat equation (35K05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (7)

Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration ⋮ A characterization of real analytic functions ⋮ A Dirichlet type problem for complex polyharmonic functions ⋮ The Borel summable solutions of heat operators on a real analytic manifold ⋮ Summable solutions of some partial differential equations and generalised integral means ⋮ Pizzetti formulae for Stiefel manifolds and applications ⋮ An extension of Pizzetti's formula associated with the Dunkl operators

Cites Work

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• On the mean value property for polyharmonic functions
• Mean-values and polyharmonic polynomials
• Summability of divergent solutions of the \(n\)-dimensional heat equation
• Mean values and differential equations
• Sur les valers moyennes des fonctions
• Mean Value Theorem for Polyharmonic Functions
• An extension of the Pizzetti formula for polyharmonic functions

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