Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds
We obtain the conditions of essential self-adjointness of Dirichlet operators of Gibbs measures with essential domains consisting of smooth cylindrical functions. It is proved that certain spaces of smooth functions are invariant under the action of the semigroup of the Dirichlet operator.
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| Date: | 1995 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5376 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511604853964800 |
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| author | Antoniouk, A. Vict. Antoniouk, A. Val. Kondratiev, Yu. G. Антонюк, О. Вік. Антонюк, О. Вал. Кондратьєв, Ю. Г. |
| author_facet | Antoniouk, A. Vict. Antoniouk, A. Val. Kondratiev, Yu. G. Антонюк, О. Вік. Антонюк, О. Вал. Кондратьєв, Ю. Г. |
| author_sort | Antoniouk, A. Vict. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:17Z |
| description | We obtain the conditions of essential self-adjointness of Dirichlet operators of Gibbs measures with essential domains consisting of smooth cylindrical functions. It is proved that certain spaces of smooth functions are invariant under the action of the semigroup of the Dirichlet operator. |
| first_indexed | 2026-03-24T03:15:32Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5376 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:15:32Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ff/498cd6f4f6d1658a5d3fec5ee43fc8ff.pdf |
| spelling | umjimathkievua-article-53762020-03-19T08:58:17Z Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds Істотна самоспряженість операторів Діріхле гіббсових мір на нескінченному добутку многовидів Antoniouk, A. Vict. Antoniouk, A. Val. Kondratiev, Yu. G. Антонюк, О. Вік. Антонюк, О. Вал. Кондратьєв, Ю. Г. We obtain the conditions of essential self-adjointness of Dirichlet operators of Gibbs measures with essential domains consisting of smooth cylindrical functions. It is proved that certain spaces of smooth functions are invariant under the action of the semigroup of the Dirichlet operator. Одержані умови істотної самоспряженості операторів Діріхле гіббсових мір з істотною областю гладких циліндричних функцій. Доведено збереження півгрупою оператора Діріхле деяких просторів гладких функцій. Institute of Mathematics, NAS of Ukraine 1995-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5376 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 1 (1995); 4–11 Український математичний журнал; Том 47 № 1 (1995); 4–11 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5376/7443 https://umj.imath.kiev.ua/index.php/umj/article/view/5376/7444 Copyright (c) 1995 Antoniouk A. Vict.; Antoniouk A. Val.; Kondratiev Yu. G. |
| spellingShingle | Antoniouk, A. Vict. Antoniouk, A. Val. Kondratiev, Yu. G. Антонюк, О. Вік. Антонюк, О. Вал. Кондратьєв, Ю. Г. Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds |
| title | Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds |
| title_alt | Істотна самоспряженість операторів Діріхле гіббсових мір на нескінченному добутку многовидів |
| title_full | Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds |
| title_fullStr | Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds |
| title_full_unstemmed | Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds |
| title_short | Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds |
| title_sort | essential self-adjointness of dirichlet operators of gibbs measures on infinite products of manifolds |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5376 |
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