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On a generalized asymptotic mean value property

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Publication:1175450
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DOI10.1007/BF02227459zbMath0745.30041MaRDI QIDQ1175450

Yitzhak Weit

Publication date: 25 June 1992

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137411


zbMATH Keywords

Borel measureasymptotic mean value property


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Miscellaneous topics of analysis in the complex plane (30E99)


Related Items (4)

Asymptotic mean value property for eigenfunctions of the Laplace-Beltrami operator on Damek-Ricci spaces ⋮ Generalized mean value property in the limit for eigenfunctions of the Laplacian on $\mathbb{R}^n$ ⋮ Mean value property in limit for eigenfunctions of the Laplace–Beltrami operator ⋮ Polytopes and the mean value property




Cites Work

  • Functions satisfying the mean value property in the limit
  • Characteristic functional equations of polynomials and the Morera- Carleman theorem
  • General and regular solutions of functional equations characterizing harmonic polynomials
  • Mean values and differential equations
  • Mean values and classes of harmonic functions




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