布尔乘法卷积与柯西-斯蒂尔杰核族

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI:10.4134/BKMS.B200380

Raouf Fakhfakh

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引用次数: 5

摘要

用M+表示R+上支持的概率测度集。假设Vν是Cauchy-Stieltjes Kernel (CSK)族K−(ν)的方差函数，由一个非简并概率测度ν∈M+生成。确定了布尔乘法卷积幂下方差函数的表达式。这个公式用于确定映射ν 7→Mt(ν) = (ν (t+1))∪× 1 t+1从M+到自身的方差函数之间的关系。

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BOOLEAN MULTIPLICATIVE CONVOLUTION AND CAUCHY-STIELTJES KERNEL FAMILIES

Denote by M+ the set of probability measures supported on R+. Suppose Vν is the variance function of the Cauchy-Stieltjes Kernel (CSK) family K−(ν) generated by a non degenerate probability measure ν ∈ M+. We determine the formula for variance function under boolean multiplicative convolution power. This formula is used to identify the relation between variance functions under the map ν 7→ Mt(ν) = ( ν (t+1) )∪× 1 t+1 from M+ onto itself.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).