Refinable distributions supported on self-affine tiles

被引:0
|
作者
Xinrong D. [1 ]
机构
[1] Dept. of Math, Zhejiang Univ. of Technology, Hangzhou
关键词
Absolutely continuous measure; Lebesgue-stieltjes measure; Refinable distribution; Self-affine tile;
D O I
10.1007/s11766-002-0027-5
中图分类号
学科分类号
摘要
In this paper,some conditions which assure the compactly supported refinable distributions supported on a self-affine tile to be Lebesgue-Stiehjes measures or absolutely continuous measures with respect to Lebesgue-Stiehjes measures are given. © 2002, Springer Verlag. All rights reserved.
引用
收藏
页码:69 / 74
页数:5
相关论文
共 50 条
  • [31] Height reducing property of polynomials and self-affine tiles
    Xing-Gang He
    Ibrahim Kirat
    Ka-Sing Lau
    [J]. Geometriae Dedicata, 2011, 152 : 153 - 164
  • [32] Self-Affine Tiles Generated by a Finite Number of Matrices
    Guotai Deng
    Chuntai Liu
    Sze-Man Ngai
    [J]. Discrete & Computational Geometry, 2023, 70 : 620 - 644
  • [33] Classification of Integral Expanding Matrices and Self-Affine Tiles
    [J]. Discrete & Computational Geometry, 2002, 28 : 49 - 73
  • [34] Radix representations, self-affine tiles, and multivariable wavelets
    Curry, E
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (08) : 2411 - 2418
  • [35] Self-Affine Tiles Generated by a Finite Number of Matrices
    Deng, Guotai
    Liu, Chuntai
    Ngai, Sze-Man
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 2023, 70 (03) : 620 - 644
  • [36] Height reducing property of polynomials and self-affine tiles
    He, Xing-Gang
    Kirat, Ibrahim
    Lau, Ka-Sing
    [J]. GEOMETRIAE DEDICATA, 2011, 152 (01) : 153 - 164
  • [37] Boundaries of Disk-Like Self-affine Tiles
    Leung, King-Shun
    Luo, Jun Jason
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 2013, 50 (01) : 194 - 218
  • [38] ON DISK-LIKE SELF-AFFINE TILES ARISING FROM
    Gmainer, Johannes
    Thuswaldner, Jorg M.
    [J]. METHODS AND APPLICATIONS OF ANALYSIS, 2006, 13 (04) : 351 - 372
  • [39] Digit sets of integral self-affine tiles with prime determinant
    Li, Jian-Lin
    [J]. STUDIA MATHEMATICA, 2006, 177 (02) : 183 - 194
  • [40] Topology of planar self-affine tiles with collinear digit set
    Akiyama, Shigeki
    Loridant, Benoit
    Thuswaldner, Joerg
    [J]. JOURNAL OF FRACTAL GEOMETRY, 2021, 8 (01) : 53 - 93