Khalikulov, S. I. On approximation of homogeneous random fields by fields with bounded spectrum. (English. Ukrainian original) Zbl 0861.60063 Theory Probab. Math. Stat. 50, 129-132 (1995); translation from Teor. Jmovirn. Mat. Stat. 50, 125-128 (1994). Summary: An analogue of Belyaev’s lemma for homogeneous random fields is established that gives the mean-square convergence rate of the Kotel’nikov-Shannon series. The problem of approximation of homogeneous random fields by fields with bounded spectrum is considered. MSC: 60G60 Random fields 62M40 Random fields; image analysis Keywords:spectral density; approximation of homogeneous random fields; bounded spectrum PDFBibTeX XMLCite \textit{S. I. Khalikulov}, Theory Probab. Math. Stat. 50, 1 (1994; Zbl 0861.60063); translation from Teor. Jmovirn. Mat. Stat. 50, 125--128 (1994)