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Journal of Applied Analysis

Editor-in-Chief: Liczberski, Piotr / Ciesielski, Krzysztof

Managing Editor: Gajek, Leslaw

2 Issues per year

CiteScore 2017: 0.33

SCImago Journal Rank (SJR) 2017: 0.183
Source Normalized Impact per Paper (SNIP) 2017: 0.364

Mathematical Citation Quotient (MCQ) 2017: 0.27

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Volume 1, Issue 2


Domains of Attraction with Inner Norming on Sturm–Liouville Hypergroups

H. M. Zeuner
  • Fachbereich Mathematik, Der Universität Dortmund, Vogelpothsweg 87, D–44221 Dortmund, Federal Republic of Germany, Email:
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Published Online: 2010-06-03 | DOI: https://doi.org/10.1515/JAA.1995.213


In this article we study the convergence of convolution powers of normalized measures (θCnν)*n on a Sturm–Liouville hypergroup (ℝ+,∗). It is shown that this sequence converges for a suitable choice of the normalizing constants cn > 0 if and only if the usual regular variation conditions of the tail of ν are valid. The possible limit distributions are described in terms of their Fourier transform; they form a two dimensional family of probability measures on ℝ+.

Key words and phrases.: Domain of attraction; stable measure; randomized sum; random walk; Sturm–Liouville hypergroup

About the article

Published Online: 2010-06-03

Published in Print: 1995-12-01

Citation Information: Journal of Applied Analysis, Volume 1, Issue 2, Pages 213–221, ISSN (Online) 1869-6082, ISSN (Print) 1425-6908, DOI: https://doi.org/10.1515/JAA.1995.213.

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