Proceedings Mathematical Sciences | |
Explicit Representation of Roots on ð‘-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 | |
【 摘 要 】
This note generalizes known results concerning the existence of roots and embedding one-parameter subgroups on ð‘-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 ð‘-adic solenoids is solved under a certain natural condition.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040506794ZK.pdf | 217KB | download |