Polytopes and the mean value property
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Publication:677019
DOI10.1007/BF02770872zbMath0872.39014MaRDI QIDQ677019
Publication date: 16 September 1997
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Functional equations for real functions (39B22) Integration with respect to measures and other set functions (28A25) Continuity and differentiation questions (26B05) Boundary value problems for linear higher-order PDEs (35G15) Real polynomials: analytic properties, etc. (26C05)
Related Items (5)
Integral symmetry conditions ⋮ Regular simplices, symmetric polynomials and the mean value property ⋮ Cubic harmonics and Bernoulli numbers ⋮ On a polygonal mean value property ⋮ Polynomial Invariants and Harmonic Functions Related to Exceptional Regular Polytopes
Cites Work
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- Mean-values and polyharmonic polynomials
- Remarks on a paper by A. Friedman
- On the quasiarithmetic mean in a mean value property and the associated functional equation
- On the mean value property of finely harmonic and finely hyperharmonic functions
- On the mean value property of harmonic and complex polynomials
- Functions satisfying the mean value property in the limit
- A new look at interpolation theory for entire functions of one variable
- Fonctions définies dans le plan et vérifiant certaines propriétés de moyenne
- Interpolation problems in \(C^ n\) with applications to harmonic analysis
- On the theorem of S. Kakutani, M. Nagumo and J. L. Walsh for the mean value property of harmonic and complex polynomials
- Functions satisfying a discrete mean value property
- On a generalized asymptotic mean value property
- Mean value properties for symmetrically differentiable functions
- An invariant volume-mean-value property
- The three-squares theorem for continuous functions
- Inverse mean value property of harmonic functions
- Mean values and harmonic functions
- On the mean-value property of harmonic functions
- General and regular solutions of functional equations characterizing harmonic polynomials
- Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)
- On two functional equations connected with a mean-value property of polynomials
- Mean values and differential equations
- Harmonic polynomials
- Regular solids and harmonic polynomials
- A Mean-Value Property of Cubic Polynomials-without Mean Values
- Bodies for Which Harmonic Functions Satisfy the Mean Value Property
- Functions Satisfying the Mean Value Property
- A Note On the Mean Value Property
- A Mean Value Property of the Derivative of Quadratic Polynomials-without Mean Values and Derivatives
- Four different unknown functions satisfying the triangle mean value property for harmonic polynomials, II
- On Darboux and Mean Value Properties
- On the Restricted Mean Value Property
- The Converse of Pólya’s Mean Value Theorem
- The volume mean-value property of harmonic functions
- A Converse to the Mean Value Property on Homogeneous Trees
- On the Mean Value Property of Harmonic Functions and Best Harmonic L 1 -Approximation
- Shorter Notes: On the Mean-Value Property of Harmonic Functions
- Offbeat Integral Geometry
- On the Inverse mean value Property of Harmonic Functions on Strips
- Four different unknown functions satisfying the triangle mean value property for harmonic polynomials
- Functions Satisfying the Mean Value Property for Product Measures
- Functions Having the Restricted Mean Value Property
- A Converse of the Volume-Mean-Value Property for Invariantly Harmonic Functions
- Volume Densities with the Mean Value Property for Harmonic Functions
- Functions Satisfying a Mean Value Property at their Zeros
- A harmonic quadrature formula characterizing open strips
- Functions Satisfying a Weighted Average Property
- On Polynomials Characterized by a Certain Mean Value Property
- Functions with a Mean Value Property II
- On an Integral Mean-Value Theorem in Analytic Function Theory
- A Note on Complex Polynomials Having Rolle's Property and the Mean Value Property for Derivatives
- Basic sets of invariants for finite reflection groups
- A Mean Value Property of Elliptic Equations with Constant Coefficients
- On Functions Satisfying the Mean Value Property with Respect to a Product Measure
- Invariants of Finite Reflection Groups and Mean Value Problems
- Differential Equations Invariant Under Finite Reflection Groups
- Regular Polytopes and Harmonic Polynomials
- On the Mean-Value Property of Harmonic Functions
- Invariants of Finite Reflection Groups and Mean Value Problems II
- On a Relation between the “Square” Functional Equation And The “Square” Mean-Value Property
- On the Algebraic Independence of Symmetric Functions
- On the Mean-Value Property of Harmonic Functions
- A mean value theorem for polynomials and harmonic polynomials
- Mean-Values and Harmonic Polynomials
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