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Abelian and tauberian theorems for random fields on two-point homogeneous spaces
Mälardalen University. International Mathematical Centre, National Academy of Sciences of Ukraine, Ukraine.
2004 (English)In: Theory of Probability and Mathematical Statistics, ISSN 0094-9000, Vol. 69, 115-127 p.Article in journal (Refereed) Published
Abstract [en]

We consider centered mean-square continuous random fields for which the variance of increments between two points depends only on the distance between these points. Relations between the asymptotic behavior of the variance of increments near zero and the asymptotic behavior of the spectral measure of the field near infinity are investigated. We prove several Abelian and Tauberian theorems in terms of slowly varying functions. © 2004 American Mathematical Society.

Place, publisher, year, edition, pages
2004. Vol. 69, 115-127 p.
Keyword [en]
Abelian theorem, Random field, Tauberian theorem, Two-point homogeneous space
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-34774DOI: 10.1090/S0094-9000-05-00619-8ScopusID: 2-s2.0-85009724382OAI: oai:DiVA.org:mdh-34774DiVA: diva2:1072673
Available from: 2017-02-08 Created: 2017-02-02 Last updated: 2017-02-08Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
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  • en-GB
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