Asymptotic behavior of generalized convolutions

D. Li; Ya G. Sinai

doi:10.1134/S1560354709020051

Asymptotic behavior of generalized convolutions

D. Li, Ya G. Sinai

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	248-262
Number of pages	15
Journal	Regular and Chaotic Dynamics
Volume	14
Issue number	2
DOIs	https://doi.org/10.1134/S1560354709020051
State	Published - 2009

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Keywords

Convolution
Fixed point
Hermite polynomials

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10.1134/S1560354709020051

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title = "Asymptotic behavior of generalized convolutions",

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",

author = "D. Li and Sinai, \{Ya G.\}",

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language = "English (US)",

volume = "14",

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journal = "Regular and Chaotic Dynamics",

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T1 - Asymptotic behavior of generalized convolutions

AU - Li, D.

AU - Sinai, Ya G.

PY - 2009

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AB - 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.

KW - Convolution

KW - Fixed point

KW - Hermite polynomials

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U2 - 10.1134/S1560354709020051

DO - 10.1134/S1560354709020051

M3 - Article

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SN - 1560-3547

VL - 14

SP - 248

EP - 262

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 2

ER -

Asymptotic behavior of generalized convolutions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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