HERMITE型非正规样本定理及其混淆误差估计

Irregular Sampling Theorem of Hermite Type and Estimate of Aliasing Error

该文证明了具有扰动的二重样本序列的指数型整函数的Marcinkiewicz-Zygmund型不等式.并由此结果得到非正规样本定理及其在Soblev类上的混淆误差估计.

In this paper, the authors prove a Marcinkiewicz-Zygmund type inequality for entire functions of exponential type with multiple sampling sequences f（λn） and f′（λn）. And from this result, the authors establish an irregular Whittaker-Kotelnikov-Shannon type sampling theorem and determine the bound of its aliasing error on the Sobolev classes.