title: Complex vector measure and integral over manifolds with locally finite variations
metadata.name: dc.contributor.author
metadata.value: Potepun, Aleksey V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-09-01T15:04:32Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-09-01T15:04:32Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-03
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3836
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: integration of differential form
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: complex vector measure
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: n-vector
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: manifold with locally finite variations
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Complex vector measure and integral over manifolds with locally finite variations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Potepun.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3836/1/Potepun.pdf
resources.format: Adobe PDF
resources.size: 295,81 kB