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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 244, Pages 143–149 (Mi znsl516)  

On characteristic functions of the multidimensional distributions

A. A. Zinger

Saint-Petersburg State University of Aerospace Instrumentation
Abstract: The problem of extension of the positive definite on bounded domain functions onto the whole space is considered. It is shown that the problem may be reduced to the some problem for functions given on the integer lattice. A criterion providing extension in this case is given also.
Received: 10.06.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 2, Pages 1105–1109
DOI: https://doi.org/10.1007/BF02673631
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: A. A. Zinger, “On characteristic functions of the multidimensional distributions”, Probability and statistics. Part 2, Zap. Nauchn. Sem. POMI, 244, POMI, St. Petersburg, 1997, 143–149; J. Math. Sci. (New York), 99:2 (2000), 1105–1109
Citation in format AMSBIB
\Bibitem{Zin97}
\by A.~A.~Zinger
\paper On characteristic functions of the multidimensional distributions
\inbook Probability and statistics. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 244
\pages 143--149
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl516}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700385}
\zmath{https://zbmath.org/?q=an:0954.60004}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 2
\pages 1105--1109
\crossref{https://doi.org/10.1007/BF02673631}
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