论文标题
复杂有价值序列的局部极限定理
Local limit theorem for complex valued sequences
论文作者
论文摘要
在本文中，我们研究了一维晶格Z上迭代卷积的重点渐近行为。我们将所谓的概率理论中所谓的局部极限定理推广到复杂的有价值序列。证明了向明确计算的吸引子的急剧收敛速率，并与渐近扩展的广义高斯结合在一起，直到迭代卷积的任何阶。
In this article, we study the pointwise asymptotic behavior of iterated convolutions on the one dimensional lattice Z. We generalize the so-called local limit theorem in probability theory to complex valued sequences. A sharp rate of convergence towards an explicitly computable attractor is proved together with a generalized Gaussian bound for the asymptotic expansion up to any order of the iterated convolution.
