Asymptotic Behavior of Generalized Convolutions

2009, Volume 14, Number 2, pp. 248-262

Author(s): Li D., Sinai Y. G.

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

Citation: Li D., Sinai Y. G., Asymptotic Behavior of Generalized Convolutions, Regular and Chaotic Dynamics, 2009, Volume 14, Number 2, pp. 248-262

DOI: 10.1134/S1560354709020051

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