论文标题
特殊的正交多项式的新通勤属性
A new commutativity property of exceptional orthogonal polynomials
论文作者
论文摘要
我们展示了三个例子，表明，D。Slepian，H。Landau和H. Pollak在贝尔实验室在1960年代在贝尔实验室发现和利用的“限制时间”的交换性能，并由M. Mehta独立，后来由C. Tracy和H. widom在随机Matrix理论中独立于此。所讨论的属性是具有简单频谱的本地运营商的存在，这些频谱与自然出现的全球运营商的通勤。我们以数字说明拥有这样的本地运营商的优势。
We exhibit three examples showing that the "time-and-band limiting" commutative property found and exploited by D. Slepian, H. Landau and H. Pollak at Bell Labs in the 1960's, and independently by M. Mehta and later by C. Tracy and H. Widom in Random matrix theory, holds for exceptional orthogonal polynomials. The property in question is the existence of local operators with simple spectrum that commute with naturally appearing global ones. We illustrate numerically the advantage of having such a local operator.
