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Regular and Chaotic Dynamics, 2009, Volume 14, Issue 2, Pages 248–262
DOI: https://doi.org/10.1134/S1560354709020051 (Mi rcd550) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotic Behavior of Generalized Convolutions

D. Lia, Ya. G. Sinaib

a School of Mathematics, Institute for Advanced Study, Princeton NJ 08544, USA
b Mathematics Department, Princeton University, Princeton NJ 08544, USA
Citations (5)
DOI: https://doi.org/10.1134/S1560354709020051
Abstract: We study the behavior of a class of convolution-type nonlinear transformations. Under some smallness conditions we prove the existence of fixed points and analyze the spectrum of the associated linearized operator.
Keywords: convolution, fixed point, Hermite polynomials.
Received: 11.11.2008
Accepted: 09.02.2009
Bibliographic databases:
Document Type: Article
MSC: 47B38, 45P05, 33C45, 33C90
Language: English
Citation: D. Li, Ya. G. Sinai, “Asymptotic Behavior of Generalized Convolutions”, Regul. Chaotic Dyn., 14:2 (2009), 248–262
Citation in format AMSBIB
\Bibitem{LiSin09}
\by D. Li, Ya. G. Sinai
\paper Asymptotic Behavior of Generalized Convolutions
\jour Regul. Chaotic Dyn.
\yr 2009
\vol 14
\issue 2
\pages 248--262
\mathnet{http://mi.mathnet.ru/rcd550}
\crossref{https://doi.org/10.1134/S1560354709020051}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2505428}
\zmath{https://zbmath.org/?q=an:1229.47089}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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