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Spectral expansions of random sections of homogeneous vector bundles
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-0139-0747
2017 (English)In: Teoriya Imovirnostei ta Matematychna Statystyka (THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS ), ISSN 0868-6904, Vol. 97, p. 142-156Article 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 homogeneousspin and tensor bundles. We consider the three existing approaches to rigourous constructing 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
Kyiv: TBiMC , 2017. Vol. 97, p. 142-156
Keywords [en]
Random field, vector bundle, cosmology
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-38333ISI: 000424422000012OAI: oai:DiVA.org:mdh-38333DiVA, id: diva2:1177173
Available from: 2018-01-24 Created: 2018-01-24 Last updated: 2018-02-22Bibliographically approved

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Other links

http://probability.univ.kiev.ua/tims/issues-new/97/PDF/14.pdf

Authority records BETA

Malyarenko, Anatoliy

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