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Abelian and tauberian theorems for random fields on two-point homogeneous spaces
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. International Mathematical Centre, National Academy of Sciences of Ukraine, Ukraine. (MAM)ORCID iD: 0000-0002-0139-0747
2004 (English)In: Theory of Probability and Mathematical Statistics, ISSN 0094-9000, Vol. 69, p. 115-127Article 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, p. 115-127
Keywords [en]
Abelian theorem, Random field, Tauberian theorem, Two-point homogeneous space
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-34774DOI: 10.1090/S0094-9000-05-00619-8Scopus ID: 2-s2.0-85009724382OAI: oai:DiVA.org:mdh-34774DiVA, id: diva2:1072673
Available from: 2017-02-08 Created: 2017-02-02 Last updated: 2021-12-23Bibliographically approved

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Malyarenko, Anatoliy

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