On characteristic functions of multidimensional distributions

被引：0
|
作者：
Zinger A.A. [1 ]
机构：
来源：
Journal of Mathematical Sciences | 2000年 / 99卷 / 2期
基金：
俄罗斯基础研究基金会;
关键词：
Characteristic Function; Trigonometric Polynomial; Positive Definiteness; Algebraic Condition; Radon Transformation;
D O I：
10.1007/BF02673631
中图分类号：
学科分类号：
摘要：
We consider the possibility of a multidimensional generalization of M. Krein's theorem on extension of a positive-definite function from an interval to the real line with preservation of positive definiteness. Under same additional conditions, this problem is reduced to the lattice case. An extension criterion for the lattice case is given. ©2000 Kluwer Academic/Plenum Publishers.
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页码：1105 / 1109
页数：4
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