Regular simplices, symmetric polynomials and the mean value property

DOI10.1007/BF02843162zbMath0898.31005MaRDI QIDQ1385431

Katsunori Iwasaki

Publication date: 2 November 1998

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

harmonic polynomialssimplexmean value property

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Polynomials, rational functions in real analysis (26C99)

Related Items (3)

A canonical system of basic invariants of a finite reflection group ⋮ Cubic harmonics and Bernoulli numbers ⋮ Polynomial Invariants and Harmonic Functions Related to Exceptional Regular Polytopes

Cites Work

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• Polytopes and the mean value property
• Mean-values and polyharmonic polynomials
• Basic invariants of finite reflection groups
• Mean values and differential equations
• Regular solids and harmonic polynomials
• Functions Satisfying the Mean Value Property
• Offbeat Integral Geometry
• Functions with a Mean Value Property II
• Basic sets of invariants for finite reflection groups
• Invariants of Finite Reflection Groups and Mean Value Problems
• Differential Equations Invariant Under Finite Reflection Groups
• Regular Polytopes and Harmonic Polynomials
• Invariants of Finite Reflection Groups and Mean Value Problems II
• A mean value theorem for polynomials and harmonic polynomials
• Mean-Values and Harmonic Polynomials

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