Partly divisible probability measures on locally compact Abelian groups
文献类型：期刊论文
| 作者 | Albeverio, S; Gottschalk, H; Wu, JL |
| 刊名 | MATHEMATISCHE NACHRICHTEN
 |
| 出版日期 | 2000 |
| 卷号 | 213页码:5-15 |
| 关键词 | locally compact Abelian groups admissible probability measures partly divisible probability measures |
| ISSN号 | 0025-584X |
| 英文摘要 | A notion of admissible probability measures mu on a locally compact Abelian group (LCA - group) G with connected dual group (G) over cap = R-d x T-n is defined. To such a measure mu, a closed semigroup Lambda(mu) subset of or equal to (0, infinity) can be associated, such that, for t is an element of Lambda(mu), the Fourier transform to the power t, (<(mu)over cap>)(t), is a characteristic function. We prove that the existence of roots for non admissible probability measures underlies some restrictions, which do not hold in the admissible case. As we show for the example Z(2), in the case of LCA - groups with non connected dual group, there is no canonical definition of the set Lambda(mu). |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000087728500001 |
| 出版者 | WILEY-V C H VERLAG GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15400]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Albeverio, S |
| 作者单位 | 1.Univ Bonn, Inst Angew Math, D-53013 Bonn, Germany 2.BiBoS Res Ctr, Bochum, Germany 3.CERFIM, Locarno, Switzerland 4.Acc Arch, Mendrisio, Switzerland 5.Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany 6.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China 7.Univ Rome La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy |
| 推荐引用方式 GB/T 7714 | Albeverio, S,Gottschalk, H,Wu, JL. Partly divisible probability measures on locally compact Abelian groups[J]. MATHEMATISCHE NACHRICHTEN,2000,213:5-15. |
| APA | Albeverio, S,Gottschalk, H,&Wu, JL.(2000).Partly divisible probability measures on locally compact Abelian groups.MATHEMATISCHE NACHRICHTEN,213,5-15. |
| MLA | Albeverio, S,et al."Partly divisible probability measures on locally compact Abelian groups".MATHEMATISCHE NACHRICHTEN 213(2000):5-15. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。