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).
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Kigami, J. A harmonic calculus on the Sierpinski spaces. Japan J. Appl. Math. 6, 259–290 (1989). https://doi.org/10.1007/BF03167882
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DOI: https://doi.org/10.1007/BF03167882