REFINABLE DISTRIBUTIONS SUPPORTED ON SELF-AFFINE TILES

REFINABLE DISTRIBUTIONS SUPPORTED ON SELF-AFFINE TILES

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摘要 In this paper,some conditions which assure the compactly supported refinable distributions supported on a self-affine tile to be Lebesgue-Stieltjes measures or absolutely continuous measures with respect to Lebesgue-Stieltjes measures are given. In this paper,some conditions which assure the compactly supported refinable distributions supported on a self-affine tile to be Lebesgue-Stieltjes measures or absolutely continuous measures with respect to Lebesgue-Stieltjes measures are given.

作者 Dai XinrongDept. of Math.,Zhejiang Univ. of Technology, Hangzhou 310032.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第1期69-74,共6页 高校应用数学学报（英文版）（B辑）

关键词 self-affine tile refinable distribution Lebesgue-Stieltjes measure absolutely continuous measure. self-affine tile,refinable distribution,Lebesgue-Stieltjes measure,absolutely continuous measure.

分类号 O212 [理学—概率论与数理统计]

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Applied Mathematics(A Journal of Chinese Universities)

2002年第1期

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REFINABLE DISTRIBUTIONS SUPPORTED ON SELF-AFFINE TILES

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