INFINITE DIMENSIONAL STATIONARY RANDOM FIELDS OVER A LOCALLY COMPACT ABELIAN GROUP

DOI10.1142/S0129167X12500292zbMath1255.60081OpenAlexW2089084768MaRDI QIDQ5389543

M. M. Rao, Herbert Heyer

Publication date: 21 April 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x12500292

zbMATH Keywords

regularityFourier transformsminimalitystationary fieldswide-sense Markov random fields

Mathematics Subject Classification ID

Random fields (60G60) Stationary stochastic processes (60G10) Random measures (60G57) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

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• Integral representations of second order processes
• Characterizations of harmonizable fields
• Theory of order statistics
• The sharp Markov property of the Brownian sheet and related processes
• Markov Random Fields and Their Applications
• ON THE THEORY OF HOMOGENEOUS RANDOM FIELDS
• Interpolation of Homogeneous Random Fields on Discrete Groups
• Brownian Motion with a Several-Dimensional Time

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