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arXiv 0806.2916math.CA
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具有误差和谱大小的$L^2-$插值

$L^2-$interpolation with error and size of spectra

Alexander Olevskii, Alexander Ulanovskii

摘要:

给定一个紧集$S$和一个一致离散序列$\La$,我们证明了用一个有界的$L^2-$函数序列对$\La$上的delta函数进行“近似插值”,这意味着通过$\La$的密度对$S$的测度进行估计.

英文摘要:

Given a compact set $S$ and a uniformly discrete sequence $\La$, we show that "approximate interpolation" of delta--functions on $\La$ by a bounded sequence of $L^2-$functions with spectra in $S$ implies an estimate on measure of $S$ through the density of $\La$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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