On the Fourier transforms of self-similar measures

被引:7
|
作者
Tsujii, Masato [1 ]
机构
[1] Kyushu Univ, Dept Math, Fukuoka 8190395, Japan
来源
关键词
self-similar measure; Fourier transform; large deviation;
D O I
10.1080/14689367.2015.1078291
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For the Fourier transform mu of a general (non-trivial) self-similar measure mu on the real line R, we prove a large deviation estimate.
引用
收藏
页码:468 / 484
页数:17
相关论文
共 50 条
  • [21] Fourier asymptotics of statistically self-similar measures
    Christian Bluhm
    Journal of Fourier Analysis and Applications, 1999, 5 : 355 - 362
  • [22] Cauchy transforms of self-similar measures: the Laurent coefficients
    Dong, XH
    Lau, KS
    JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 202 (01) : 67 - 97
  • [23] The Lower Fourier Dimensions of In-Homogeneous Self-similar Measures
    Zhang, Shuqin
    Gao, Bing
    Xiao, Yingqing
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2023, 29 (05)
  • [24] MEAN QUADRATIC VARIATIONS AND FOURIER ASYMPTOTICS OF SELF-SIMILAR MEASURES
    LAU, KS
    WANG, JR
    MONATSHEFTE FUR MATHEMATIK, 1993, 115 (1-2): : 99 - 132
  • [25] The Lower Fourier Dimensions of In-Homogeneous Self-similar Measures
    Shuqin Zhang
    Bing Gao
    Yingqing Xiao
    Journal of Fourier Analysis and Applications, 2023, 29
  • [26] WAVELET TRANSFORMS OF SELF-SIMILAR PROCESSES
    VERGASSOLA, M
    FRISCH, U
    PHYSICA D-NONLINEAR PHENOMENA, 1991, 54 (1-2) : 58 - 64
  • [27] Fourier decay behavior of homogeneous self-similar measures on the complex plane
    Mosquera, Carolina A.
    Olivo, Andrea
    JOURNAL OF FRACTAL GEOMETRY, 2023, 10 (1-2) : 43 - 60
  • [28] Geometry of self-similar measures
    Moran, R
    Rey, JM
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1997, 22 (02): : 365 - 386
  • [29] Self-similar sets and self-similar measures in the p-adics
    Hare, Kevin George
    Vavra, Tomas
    JOURNAL OF FRACTAL GEOMETRY, 2024, 11 (3-4) : 247 - 287
  • [30] SELF-SIMILAR MEASURES AND SEQUENCES
    BOREL, JP
    JOURNAL OF NUMBER THEORY, 1989, 31 (02) : 208 - 241