具有误差和谱大小的$L^2-$插值
$L^2-$interpolation with error and size of spectra
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 $\La$.
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