临界密度下的松弛Gabor展开和“确定性原理”
Relaxed Gabor expansion at critical density and a `certainty principle'
摘要：
一个版本的临界密度的晶格上的Gabor展开示出收敛到一个任意的函数，属于域的振子操作。这种扩展是用于近似的任意函数集中（在伽柏变换的意义上）在一个有界域D的相平面。结果表明，一个合理的逼近可以通过Gabor函数，其数量是相当的单形区域的D。
英文摘要：
A version of Gabor expansion over a lattice of critical density is shown to converge to an arbitrary function that belongs to domain of the oscillator operator. This expansion is used for approximation of an arbitrary function concentrated (in the sense of the Gabor transform) in a bounded domain D of the phase plane. It is shown that a reasonable approximation can be done by means of Gabor functions, whose number is equivalent to the simplectic area of D.
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