D. Li, Ya. G. Sinai, “Asymptotic Behavior of Generalized Convolutions”, Regul. Chaotic Dyn., 2009, Volume 14, Issue 2,Pages <nobr>248

This article is cited in 5 papers

Asymptotic Behavior of Generalized Convolutions

D. Li^a, Ya. G. Sinai^b

^a School of Mathematics, Institute for Advanced Study, Princeton NJ 08544, USA
^b Mathematics Department, Princeton University, Princeton NJ 08544, USA

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.

MSC: 47B38, 45P05, 33C45, 33C90

Received: 11.11.2008
Accepted: 09.02.2009

Language: English

DOI: 10.1134/S1560354709020051