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001-es BibID:	BIBFORM110974
Első szerző:	Heyer, Herbert
Cím:	On infinite divisibility and embedding of probability measures on a locally compact Abelian group / Herbert Heyer, Gyula Pap
Dátum:	2005
Megjegyzések:	In the present note the authors supplement significant properties of infinitely divisible and embeddable probability measures on a locally compact Abelian group G. There are at least two versions of infinite divisibility appearing in the literature which deserve special attention, and the problem of embedding those measures leads directly to the study of continuous convolution semigroups on G. It is evident from the classical setup that in this context Gaussian semigroups and measures play a favorite role. The main result of Section 3 concerns the representation of Gaussian measures in terms of their characteristics and their relationship to Gaussian measures in the sense of Parthasarathy. Section 5 and 6 deal with the embedding of infinitely divisible probability measures in the weak or strong sense respectively. We present direct proofs to more or less known statements, but stress the irreplacable hypothesis that the dual of G is arcwise connected. In a concluding Section 7 we initiate the study of Gaussian and diffusion hemigroups on G and their analysis, especially for 1-dimensional connected Abelian groups.
ISBN:	9789812565938
Tárgyszavak:	Műszaki tudományok Informatikai tudományok előadáskivonat könyvrészlet
Megjelenés:	Infinite Dimensional Harmonic Analysis III: Proceedings of the Third German-Japanese Symposium. / Herbert Heyer et. al. - p.9-118. -
További szerzők:	Pap Gyula (1954-) (matematikus)
Internet cím:	Intézményi repozitóriumban (DEA) tárolt változat
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