A simple construction of exponential bases in L2 of the union of several intervals

A simple construction of exponential bases in L2 of the union of several intervals
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几个区间并集的 L2 中指数基的简单构造

DOI:
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发表时间:
1995
影响因子:
0.7
通讯作者:
K. Seip
K. Seip
中科院分区:
数学3区
文献类型:
--
作者:
K. Seip

文献摘要

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证明了每个空间L2 (I1,∪I2),其中I1和I2是有限区间,具有复指数的Riesz基,{λk}是实数序列。对n≧3个有限区间的相应问题也得到了部分结果。
It is proved that every space L2 (I1, ∪ I2), where I1 and I2 are finite intervals, has a Riesz basis of complex exponentials , {λk} a sequence of real numbers. A partial result for the corresponding problem for n≧3 finite intervals is also obtained.