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
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