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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 4, Pages 929–934 (Mi tvp3742)  
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

A generalization of Е. Siebert's theorem on convergence of convolution semigroups and accompanying laws

W. Hazod

Institut für Mathematik, Universität Dortmund, Dortmund, Germany
Full-text PDF (406 kB) Citations (1)
Abstract: The convergence of sequences of convolution semigroups of probabilities in terms of their generating functionals is described. The equivalence of the convergence of the accompanying laws and the corresponding generating functionals is proved in the case of an arbitrary locally compact group.
Keywords: continuous and discrete convolution semigroups, generating functionals, accompanying laws, convergence of convolution semigroups, domains of attraction.
Received: 06.03.1993
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 4, Pages 765–769
DOI: https://doi.org/10.1137/1140088
Bibliographic databases:
Document Type: Article
Language: English
Citation: W. Hazod, “A generalization of Е. Siebert's theorem on convergence of convolution semigroups and accompanying laws”, Teor. Veroyatnost. i Primenen., 40:4 (1995), 929–934; Theory Probab. Appl., 40:4 (1995), 765–769
Citation in format AMSBIB
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\paper A generalization of Е.~Siebert's theorem on convergence of convolution semigroups and accompanying laws
\jour Teor. Veroyatnost. i Primenen.
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\pages 929--934
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\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 4
\pages 765--769
\crossref{https://doi.org/10.1137/1140088}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WD22100018}
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  • https://www.mathnet.ru/eng/tvp/v40/i4/p929
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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