POTENTIAL THEORY AND ANALYTIC PROPERTIES OF THE SELF—AFFINE SET

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1997, Vol. 14 ›› Issue (1): 54-62.

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POTENTIAL THEORY AND ANALYTIC PROPERTIES OF THE SELF—AFFINE SET

Shang Pengjian

Department of Math Norhtern Jiaotong University, Beijing 100044

Received:1995-08-28 Revised:1996-09-17 Online:1997-01-25 Published:1997-01-25

Abstract

Abstract: The potential produced by a charge distribution on the self affine set and its analytic properties are studied. First, the structure properties are deduced of the charge distribution,the electrostatic potential and Fourier transform, then the explicit representatioin for the binornial distribution on the Cantor set, its moments, its Fourier transform and its potential are given with some numerical results.

Key words: self-affine set, potention, moments, fourier transform

CLC Number:

O411.1

Shang Pengjian. POTENTIAL THEORY AND ANALYTIC PROPERTIES OF THE SELF—AFFINE SET[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 14(1): 54-62.

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POTENTIAL THEORY AND ANALYTIC PROPERTIES OF THE SELF—AFFINE SET

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