mdh.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Spectral expansions of random sections of homogeneous vector bundles
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.ORCID iD: 0000-0002-0139-0747
2018 (English)In: Theory of Probability and Mathematical Statistics, ISSN 0094-9000, Vol. 97, p. 151-165Article in journal (Refereed) Published
Abstract [en]

Tiny fluctuations of the Cosmic Microwave Background as well as various observable quantities obtained by spin raising and spin lowering of the effective gravitational lensing potential of distant galaxies and galaxy clusters are described mathematically as isotropic random sections of homogeneous spin and tensor bundles. We consider the three existing approaches to rigourous construction of the above objects, emphasising an approach based on the theory of induced group representations. Both orthogonal and unitary representations are treated in a unified manner. Several examples from astrophysics are included.

Place, publisher, year, edition, pages
American Mathematical Society , 2018. Vol. 97, p. 151-165
Keywords [en]
Cosmology, Random field, Vector bundle
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-43195DOI: 10.1090/tpms/1054Scopus ID: 2-s2.0-85064201343OAI: oai:DiVA.org:mdh-43195DiVA, id: diva2:1306910
Available from: 2019-04-25 Created: 2019-04-25 Last updated: 2019-04-25Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records BETA

Malyarenko, Anatoliy

Search in DiVA

By author/editor
Malyarenko, Anatoliy
By organisation
Educational Sciences and Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 1 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf