Buldigin, V. V.; Shportyuk, V. G. On the normalization of random fields represented by stochastic integrals over fields with independent increments. (English. Ukrainian original) Zbl 0863.60047 Theory Probab. Math. Stat. 49, 47-58 (1994); translation from Teor. Jmovirn. Mat. Stat. 49, 65-81 (1993). Summary: Random fields represented by stochastic integrals over fields with independent increments are considered. A general form of characteristic functions of such fields is obtained and conditions for the normalization of their finite-dimensional distributions are given. Semi-invariant conditions for the normalizaton of these fields in the space of continuous functions are found. Cited in 1 Review MSC: 60G60 Random fields 60G15 Gaussian processes 60G10 Stationary stochastic processes Keywords:random fields; stochastic integrals; characteristic functions PDFBibTeX XMLCite \textit{V. V. Buldigin} and \textit{V. G. Shportyuk}, Theory Probab. Math. Stat. 49, 1 (1993; Zbl 0863.60047); translation from Teor. Jmovirn. Mat. Stat. 49, 65--81 (1993)