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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 260, Pages 202–213 (Mi znsl1074)  

Asymptotic behavior of stationary Banach valued Gaussian fields

A. E. Mikhailov

St. Petersburg State University of Architecture and Civil Engineering
Abstract: The speed of approximation of elements of the unit ball of the reproduction kernel space of the Gaussian measure, corresponding to a stationary Banach valued random field on a Euclidean space, by corresponding elements constructed for bounded subsets of this parametric set is investigated. The paper is a continuation of the author's investigations published in previous issues of ZNS POMI.
Received: 16.02.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 6, Pages 2179–2188
DOI: https://doi.org/10.1023/A:1014585517811
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: A. E. Mikhailov, “Asymptotic behavior of stationary Banach valued Gaussian fields”, Probability and statistics. Part 3, Zap. Nauchn. Sem. POMI, 260, POMI, St. Petersburg, 1999, 202–213; J. Math. Sci. (New York), 109:6 (2002), 2179–2188
Citation in format AMSBIB
\Bibitem{Mik99}
\by A.~E.~Mikhailov
\paper Asymptotic behavior of stationary Banach valued Gaussian fields
\inbook Probability and statistics. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 260
\pages 202--213
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1074}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1759163}
\zmath{https://zbmath.org/?q=an:1005.60051}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 6
\pages 2179--2188
\crossref{https://doi.org/10.1023/A:1014585517811}
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