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Abelian and Tauberian theorems for random fields on two-point homogeneous spaces
Mälardalen University, Department of Mathematics and Physics.ORCID iD: 0000-0002-0139-0747
2003 (English)Report (Other scientific)
Abstract [en]

We consider centred mean-square continuous random fields for which the incremental variance between two points depends only on the distance between these points. The relations between the asymptotic behaviour of the incremental variance near zero and the asymptotic behaviour of the spectral measure of the field near infinity are investigated. We prove several Abelian and Tauberian theorems in terms of slowly varying functions.

Place, publisher, year, edition, pages
Institutionen för Matematik och Fysik , 2003. , 17 p.
Keyword [en]
Random field, Abelian theorem, Tauberian theorem, two-point homogeneous space
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-132OAI: oai:DiVA.org:mdh-132DiVA: diva2:120498
Available from: 2006-04-03 Created: 2006-04-03 Last updated: 2014-01-10

Open Access in DiVA

fulltext(150 kB)319 downloads
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File name FULLTEXT01.pdfFile size 150 kBChecksum MD5
ada3aeeb56f1f4ff56c6358069c08037bdfd91c08f442353d3d37707f922fda634a964b2
Type fulltextMimetype application/pdf

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Malyarenko, Anatoliy
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Department of Mathematics and Physics
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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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Output format
  • html
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