Extended objects as ultradistribution-marked configuration spaces
UDC 517.9 Configuration spaces of point particles with and without internal quantum numbers (marks) were studies earlier as a framework for the description of the dynamics of multiagent systems. Here, we propose to extend this framework to configuration spaces of extended objects of any shape. This...
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| Datum: | 2026 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8305 |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513020554248192 |
|---|---|
| author | Mendes, Rui Vilela Mendes, Rui Vilela |
| author_facet | Mendes, Rui Vilela Mendes, Rui Vilela |
| author_sort | Mendes, Rui Vilela |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:32:42Z |
| description | UDC 517.9
Configuration spaces of point particles with and without internal quantum numbers (marks) were studies earlier as a framework for the description of the dynamics of multiagent systems. Here, we propose to extend this framework to configuration spaces of extended objects of any shape. This is attained by identifying the shape with the support of an ultradistribution of compact support. Then, by using the multipole expansion property of these ultradistributions, we conclude that the configuration spaces of extended objects are a simple extension of the marked configuration spaces. |
| doi_str_mv | 10.3842/umzh.v77i4.8305 |
| first_indexed | 2026-03-24T03:38:03Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8305 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:38:03Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-83052026-03-21T13:32:42Z Extended objects as ultradistribution-marked configuration spaces Extended objects as ultradistribution-marked configuration spaces Mendes, Rui Vilela Mendes, Rui Vilela Configuration spaces; Extended objects; Ultradistributions Configuration spaces UDC 517.9 Configuration spaces of point particles with and without internal quantum numbers (marks) were studies earlier as a framework for the description of the dynamics of multiagent systems. Here, we propose to extend this framework to configuration spaces of extended objects of any shape. This is attained by identifying the shape with the support of an ultradistribution of compact support. Then, by using the multipole expansion property of these ultradistributions, we conclude that the configuration spaces of extended objects are a simple extension of the marked configuration spaces. УДК 517.9 Розширені об'єкти як позначені конфігураційні простори з ультрарозподіленою розміткою Конфігураційні простори точкових частинок як із внутрішніми квантовими числами (мітками), так і без них раніше розглядали як основу для опису динаміки багатоагентних систем. Запропоновано узагальнення цієї концепції на конфігураційні простори розширених об'єктів довільної форми. Таке узагальнення досягнуто ототожненням форми об'єкта з носієм ультрарозподілу з компактним носієм. З використанням властивості мультипольного розкладу таких ультрарозподілів показано, що конфігураційні простори розширених об'єктів є природним розширенням позначених конфігураційних просторів. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8305 10.3842/umzh.v77i4.8305 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 4 (2025); 288 Український математичний журнал; Том 77 № 4 (2025); 288 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8305/10446 Copyright (c) 2025 Rui Vilela Mendes |
| spellingShingle | Mendes, Rui Vilela Mendes, Rui Vilela Extended objects as ultradistribution-marked configuration spaces |
| title | Extended objects as ultradistribution-marked configuration spaces |
| title_alt | Extended objects as ultradistribution-marked configuration spaces |
| title_full | Extended objects as ultradistribution-marked configuration spaces |
| title_fullStr | Extended objects as ultradistribution-marked configuration spaces |
| title_full_unstemmed | Extended objects as ultradistribution-marked configuration spaces |
| title_short | Extended objects as ultradistribution-marked configuration spaces |
| title_sort | extended objects as ultradistribution-marked configuration spaces |
| topic_facet | Configuration spaces Extended objects Ultradistributions Configuration spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8305 |
| work_keys_str_mv | AT mendesruivilela extendedobjectsasultradistributionmarkedconfigurationspaces AT mendesruivilela extendedobjectsasultradistributionmarkedconfigurationspaces |