Distributions and measures on the boundary of a tree

  title={Distributions and measures on the boundary of a tree},
  author={Joel M. Cohen and Flavia Colonna and David Singman},
In this paper, we analyze the space D of distributions on the boundary Ω of a tree and its sub spaceB0, which was introduced in [Amer. J. Math. 124 (2002) 999–1043] in the homogen case for the purpose of studying the boundary behavior of polyharmonic functions. We show μ ∈ B0, thenμ is a measure which is absolu tely continuous with respect to the natural probability measureλ on Ω, but on the other hand there are measures absolutely continuous with respe λ which are not inB0. We then give the… CONTINUE READING

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Publications referenced by this paper.

Extremepoints of the Bloch space of a homogeneous tree

  • F. Colonna
  • / J . Math . Anal . Appl .
  • 2004


  • J. M. Cohen, F. Colonna
  • Gow riSankaran, D. Singman , Polyharmonic…
  • 2002
1 Excerpt

Local fields and trees

  • A. Figà-Talamanca
  • in: Harmonic Functions on Trees and Buildings, in…
  • 1997
1 Excerpt


  • F. Choucroun
  • espaces ultramétriques et bases de structure…
  • 1996
1 Excerpt

Real Analysis

  • H. L. Royden
  • third ed., Macmillan, New York
  • 1988

Fonctions harmoniques s ur un arbre

  • P. Cartier
  • Sympos. Math. 9
  • 1972
2 Excerpts

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