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http://hdl.handle.net/11701/3836
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Поле DC | Значение | Язык |
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dc.contributor.author | Potepun, Aleksey V. | - |
dc.date.accessioned | 2016-09-01T15:04:32Z | - |
dc.date.available | 2016-09-01T15:04:32Z | - |
dc.date.issued | 2016-03 | - |
dc.identifier.uri | http://hdl.handle.net/11701/3836 | - |
dc.description.abstract | It is well known that one can integrate any compactly supported continuous complex differential n-form over real-n-dimensional C1-manifolds in Cm (m n). For n = 1 the integral may be defined over any locally rectifiable curve. Another generalization is the theory of currents (linear functionals on the space of compactly supported C∞-differential forms). The theme of the article is integration of measurable complex differential (n, 0)-forms (without d¯zj) over real-n-dimensional C0-manifolds in Cm with locally finite n-dimensional variations (a generalization of locally rectifiable curves to dimension n > 1). The last result states that a real-n-dimensional manifold, C1-embedded in Cm, has locally finite variations and the integral of measurable complex differential (n, 0)-form determined in the article may be calculated by well known formula. Refs 5. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 1 | - |
dc.subject | integration of differential form | en_GB |
dc.subject | complex vector measure | en_GB |
dc.subject | n-vector | en_GB |
dc.subject | manifold with locally finite variations | en_GB |
dc.title | Complex vector measure and integral over manifolds with locally finite variations | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 1 |
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Файл | Описание | Размер | Формат | |
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Potepun.pdf | 295,81 kB | Adobe PDF | Просмотреть/Открыть |
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