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
Domains of Attraction with Inner Norming on Sturm–Liouville Hypergroups
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+.
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