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Japan Journal of Applied Mathematics

, Volume 6, Issue 2, pp 259–290 | Cite as

A harmonic calculus on the Sierpinski spaces

  • Jun Kigami
Article

Abstract

A reconstruction of the well-known theory of calculus on [0, 1] will naturally bring a calculus associated with the harmonic functions, Laplace operator, Gauss-Green’s formula and so on, on theN-Sierpinski space whose Hausdorff dimension is (logN)/(log 2).

Key words

Sierpinski space harmonic difference harmonic function Laplace operator Dirichlet problem for the Poisson’s equation Gauss-Green’s formula Neumann problem for the Poisson’s equation 

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Copyright information

© JJAM Publishing Committee 1989

Authors and Affiliations

  • Jun Kigami
    • 1
  1. 1.Department of Mathematics, Faculty of ScienceKyoto UniversityKyotoJapan

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