Interpolation of monogenic functions by using reproducing kernel Hilbert spaces

被引：1

作者：

Cerejeiras, Paula ^{[1
]}

Kaehler, Uwe ^{[1
]}

Legatiuk, Dmitrii ^{[2
]}

机构：

[1] Univ Aveiro, Ctr R&D Math & Applicat, CIDMA, Aveiro, Portugal

[2] Bauhaus Univ Weimar, Appl Math, Weimar, Germany

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 17期

关键词：

Bergman kernel; interpolation; monogenic function; reproducing kernel; sparsity constrain; LINEAR INVERSE PROBLEMS;

D O I：

10.1002/mma.5271

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present results on interpolation of monogenic functions in the unit ball of Rd+1 using reproducing kernels and randomly chosen interpolation points. The main theoretical results are proved based on the concept of uniformly discrete sequences. Furthermore, estimates for the interpolation error as well as for the eigenvalues of the interpolation problems are presented. Numerical results are presented in the end.

引用

页码：8100 / 8114

页数：15

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