Partly divisible probability measures on locally compact Abelian groups

CSpace

	Partly divisible probability measures on locally compact Abelian groups
	Albeverio, S ; Gottschalk, H ; Wu, JL
	2000
发表期刊	MATHEMATISCHE NACHRICHTEN
ISSN	0025-584X
卷号	213 页码:5-15
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).
关键词	locally compact Abelian groups admissible probability measures partly divisible probability measures
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000087728500001
出版者	WILEY-V C H VERLAG GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15401
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.