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On the sampling theorem for homogeneous random fields. (English. Ukrainian original) Zbl 0941.60062

Theory Probab. Math. Stat. 53, 153-159 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 142-148 (1995).
The article contains a proof of the sampling theorem for random fields with non-bounded spectrum. It is shown that under some conditions the sampling expansions of random fields converge almost surely.

MSC:

60G60 Random fields
60G99 Stochastic processes
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