期刊论文详细信息
Proceedings Mathematical Sciences
Explicit Representation of Roots on 𝑝-Adic Solenoids and Non-Uniqueness of Embeddability into Rational One-Parameter Subgroups
Peter Becker-Kern1 
[1] Fachbereich Mathematik, Universität Dortmund, Dortmund, Germany$$
关键词: Solenoid;    root multiplicity;    infinite divisibility;    one-parameter subgroup;    embedding problem;    convolution semigroup;    uniqueness of embedding.;   
DOI  :  
学科分类:数学(综合)
来源: Indian Academy of Sciences
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【 摘 要 】

This note generalizes known results concerning the existence of roots and embedding one-parameter subgroups on 𝑝-adic solenoids. An explicit representation of the roots leads to the construction of two distinct rational embedding one-parameter subgroups. The results contribute to enlighten the group structure of solenoids and to point out difficulties arising in the context of the embedding problem in probability theory. As a consequence, the uniqueness of embedding of infinitely divisible probability measures on 𝑝-adic solenoids is solved under a certain natural condition.

【 授权许可】

Unknown   

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