Minimality and (weighted) interpolation in Paley-Wiener spaces

被引：0
|
作者：
Gaunard, Frederic [1 ]
机构：
[1] KTH Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden
来源：
ARCHIV DER MATHEMATIK | 2014年 / 102卷 / 04期
关键词：
Interpolation; Paley-Wiener spaces; Minimal sequences; Upper uniform density; ANALYTIC-FUNCTIONS; EXPONENTIAL BASES; SEQUENCES;
D O I：
10.1007/s00013-014-0638-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate links between minimality, Carleson condition, and (weighted) interpolation in Paley-Wiener spaces. In particular, we show that the Carleson condition on a sequence. together with minimality in Paley-Wiener spaces PW iota p implies the interpolation property of Lambda in PW iota+epsilon p, for every epsilon > 0. This result does not, surprisingly, require uniform minimality.
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页码：379 / 389
页数：11
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