On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus

We give a necessary condition for the weak regularity of a linear extension of a dynamical system on a torus in the form of Fourier series with respect to a part of the variables.

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Bibliographic Details
Date:1998
Main Authors: Grechko, A. L., Гречко, А. Л.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4942
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Grechko, A. L.
Гречко, А. Л.
author_facet Grechko, A. L.
Гречко, А. Л.
author_sort Grechko, A. L.
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datestamp_date 2020-03-18T21:17:35Z
description We give a necessary condition for the weak regularity of a linear extension of a dynamical system on a torus in the form of Fourier series with respect to a part of the variables.
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spelling umjimathkievua-article-49422020-03-18T21:17:35Z On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus Про необхідні умови слабкої регулярності лінійного розширення динамічної системи на торі Grechko, A. L. Гречко, А. Л. We give a necessary condition for the weak regularity of a linear extension of a dynamical system on a torus in the form of Fourier series with respect to a part of the variables. Наведено необхідну умову слабкої регулярності лінійної о розширення динамічної системи па горі у вигляді рядів Фур'є за частиною змінних. Institute of Mathematics, NAS of Ukraine 1998-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4942 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 3 (1998); 424–425 Український математичний журнал; Том 50 № 3 (1998); 424–425 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4942/6583 https://umj.imath.kiev.ua/index.php/umj/article/view/4942/6584 Copyright (c) 1998 Grechko A. L.
spellingShingle Grechko, A. L.
Гречко, А. Л.
On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus
title On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus
title_alt Про необхідні умови слабкої регулярності лінійного розширення динамічної системи на торі
title_full On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus
title_fullStr On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus
title_full_unstemmed On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus
title_short On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus
title_sort on necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus
url https://umj.imath.kiev.ua/index.php/umj/article/view/4942
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