Interpolation of vector-valued real analytic functions

被引:12
作者
Bonet, J [1 ]
Domanski, P
Vogt, D
机构
[1] Univ Politecn Valencia, Dept Matemat Aplicada, ETSI Arquitectura, E-46071 Valencia, Spain
[2] Berg Univ Wuppertal, Fachbereich Math, D-42097 Wuppertal, Germany
[3] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland
[4] Polish Acad Sci, Inst Math, Poznan, Poland
来源
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2002年 / 66卷
关键词
D O I
10.1112/S0024610702003551
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let omega subset of or equal to R(d) be an open domain. The sequentially complete DF-spaces E are characterized such that for each (some) discrete sequence (z(n)) subset of or equal to omega, a sequence of natural numbers (k(n)) and any family (X(n,alpha))(nis an element ofN), (\alpha\less than or equal tokn) subset of or equal to E the infinite system of equations ((partial derivativezalpha)/(partial derivative\alpha\f))(z(n)) = x(n,alpha) for nis an element of N, alpha is an element of N(d), \alpha\ less than or equal to k(n), has an E-valued real analytic solution f.
引用
收藏
页码:407 / 420
页数:14
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