LOCAL FRACTAL INTERPOLATION ON UNBOUNDED DOMAINS

被引：9
|
作者：
Massopust, Peter R. [1 ]
机构：
[1] Tech Univ Munich, Res Unit M15, Ctr Math, Boltzmannstr 3, D-85747 Garching, Germany
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2018年 / 61卷 / 01期
关键词：
local iterated function system; attractor; fractal interpolation; Read-Bajraktarevic operator; fractal function; Bochner-Lebesgue space; unbounded component; non-compact Hausdorff space;
D O I：
10.1017/S0013091517000268
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define fractal interpolation on unbounded domains for a certain class of topological spaces and construct local fractal functions. In addition, we derive some properties of these local fractal functions, consider their tensor products, and give conditions for local fractal functions on unbounded domains to be elements of Bochner-Lebesgue spaces.
引用
收藏
页码：151 / 167
页数：17
相关论文
共 50 条
  • [21] STABILITY IN UNBOUNDED DOMAINS
    CARMI, S
    EBENSTEIN, S
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1974, 54 (10): : 667 - 678
  • [22] UNBOUNDED QUADRATURE DOMAINS
    SHAPIRO, HS
    LECTURE NOTES IN MATHEMATICS, 1987, 1275 : 287 - 331
  • [23] UNBOUNDED POINCARE DOMAINS
    HURRISYRJANEN, R
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1992, 17 (02) : 409 - 423
  • [24] Unbounded domains of normality
    Anderson, JM
    Hinkkanen, A
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (11) : 3243 - 3252
  • [25] Fractal dimensions of random attractors for stochastic Benjamin-Bona-Mahony equation on unbounded domains
    Yin Fuqi
    Li Xueli
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (05) : 1595 - 1615
  • [26] Adaptive Interpolation Scheme for Image Magnification Based on Local Fractal Analysis
    Song, Gang
    Qin, Chao
    Zhang, Kaixiang
    Yao, Xunxiang
    Bao, Fangxun
    Zhang, Yunfeng
    IEEE ACCESS, 2020, 8 (08): : 34326 - 34338
  • [27] Interpolation theorem for unbounded operators
    Kim, H
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1996, 26 (01) : 189 - 193
  • [28] Fractal Calculus on Fractal Interpolation Functions
    Gowrisankar, Arulprakash
    Khalili Golmankhaneh, Alireza
    Serpa, Cristina
    FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [29] Interpolation domains
    Cahen, PJ
    Chabert, JL
    Frisch, S
    JOURNAL OF ALGEBRA, 2000, 225 (02) : 794 - 803
  • [30] Adaptive rational fractal interpolation function for image super-resolution via local fractal analysis
    Yao, Xunxiang
    Wu, Qiang
    Zhang, Peng
    Bao, Fangxun
    IMAGE AND VISION COMPUTING, 2019, 82 : 39 - 49
12345