MULTIDIMENSIONAL ITERATIVE INTERPOLATION

被引：25

作者：

DESLAURIERS, G

DUBOIS, J

DUBUC, S

机构：

[1] ECOLE POLYTECH,DEPT MATH APPL,MONTREAL H3C 3A7,QUEBEC,CANADA

[2] UNIV SHERBROOKE,DEPT MATH & INFORMAT,SHERBROOKE J1K 2R1,QUEBEC,CANADA

[3] UNIV MONTREAL,DEPT MATH & STAT,MONTREAL H3C 3J7,QUEBEC,CANADA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1991年 / 43卷 / 02期

关键词：

ITERATIVE INTERPOLATION PROCESS; FUNDAMENTAL INTERPOLATING FUNCTION; CHARACTERISTIC FUNCTION; CONTINUOUS INTERPOLATION; TEMPERATE DISTRIBUTION; FOURIER TRANSFORM;

D O I：

10.4153/CJM-1991-016-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define an iterative interpolation process for data spread over a closed discrete subgroup of the Euclidean space. We describe the main algebraic properties of this process. This interpolation process, under very weak assumptions, is always convergent in the sense of Schwartz distributions. We find also a convenient necessary and sufficient condition for continuity of each interpolation function of a given iterative interpolation process.

引用

页码：297 / 312

页数：16

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