Partly divisible probability measures on locally compact Abelian groups

	Partly divisible probability measures on locally compact Abelian groups
	Albeverio, S ; Gottschalk, H ; Wu, JL
刊名	MATHEMATISCHE NACHRICHTEN
	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
出版者	WILEY-V C H VERLAG GMBH
WOS记录号	WOS:000087728500001
内容类型	期刊论文
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.