On the Closure of Translation-Dilation Invariant Linear Spaces of Polynomials (vol 69, pg 263, 2016)

被引：0
|
作者：
Almira, J. M. [1 ]
Szekelyhidi, L. [2 ,3 ]
机构：
[1] Univ Jaen, EPS Linares, Dept Matemat, Campus Cient Tecnol Linares,Cinturon Sur S-N, Linares 23700, Spain
[2] Univ Debrecen, Inst Math, Egyet Ter 1, H-4032 Debrecen, Hungary
[3] Univ Botswana, Dept Math, 4775 Notwane Rd, Gaborone, Botswana
来源：
RESULTS IN MATHEMATICS | 2016年 / 69卷 / 1-2期
关键词：
difference operators; dilation invariance; pointwise convergence; Polynomials; translation invariance;
D O I：
10.1007/s00025-015-0520-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Assume that a linear space of real polynomials in d variables is given which is translation and dilation invariant. We show that if a sequence in this space converges pointwise to a polynomial, then the limit polynomial belongs to the space, too.
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页码：273 / 274
页数：2
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