Li Lifeng
Department of Precision Instruments, Tsinghua University, Beijing, China.
J Opt Soc Am A Opt Image Sci Vis. 2002 Jul;19(7):1443-4; discussion 1445-6. doi: 10.1364/josaa.19.001443.
The inverse rule that is described in a recent paper [J. Opt. Soc. Am. A 17, 491 (2000)] is not a multiplication rule for multiplying two infinite series, because it does not address how the terms of two series being multiplied are combined to form the product series. Furthermore, it is not the one that is being used in numerical practice. Therefore the insight that the paper provides into why the inverse rule yields correct results at the points of complementary discontinuities is questionable.
最近一篇论文[《美国光学学会志A》17, 491 (2000)]中所描述的反演规则并非用于两个无穷级数相乘的乘法规则，因为它并未涉及相乘的两个级数的项如何组合以形成乘积级数。此外，它也不是数值计算中所使用的规则。因此，该论文对于反演规则在互补间断点处为何能得出正确结果所提供的见解值得怀疑。
