Shift and coherent shift in inverse systems
نویسندگان
چکیده
منابع مشابه
LI-YORKE CHAOTIC GENERALIZED SHIFT DYNAMICAL SYSTEMS
In this text we prove that in generalized shift dynamical system $(X^Gamma,sigma_varphi)$ for finite discrete $X$ with at least two elements, infinite countable set $Gamma$ and arbitrary map $varphi:GammatoGamma$, the following statements are equivalent: - the dynamical system $(X^Gamma,sigma_varphi)$ is Li-Yorke chaotic; - the dynamical system $(X^Gamma,sigma_varphi)$ has an scr...
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متن کاملli-yorke chaotic generalized shift dynamical systems
in this text we prove that in generalized shift dynamical system $(x^gamma,sigma_varphi)$ for finite discrete $x$ with at least two elements, infinite countable set $gamma$ and arbitrary map $varphi:gammatogamma$, the following statements are equivalent: - the dynamical system $(x^gamma,sigma_varphi)$ is li-yorke chaotic; - the dynamical system $(x^gamma,sigma_varphi)$ has an scr...
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A countable collection X of functions in L2(IR ) is said to be a Bessel system if the associated analysis operator T ∗ X : L2(IR ) → `2(X) : f 7→ (〈f, x〉)x∈X is well-defined and bounded. A Bessel system is a fundamental frame if T ∗ X is injective and its range is closed. This paper considers the above two properties for a generalized shift-invariant system X. By definition, such a system has t...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2004
ISSN: 0166-8641
DOI: 10.1016/j.topol.2003.08.012