Ponomarenko, A. I. \(V\)-bounded random fields in normed spaces. (English. Ukrainian original) Zbl 0840.60034 Theory Probab. Math. Stat. 48, 117-124 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 161-173 (1993). Summary: This paper considers operator and scalar \(V\)-bounded second order random fields on a locally compact Abelian group with values in normed spaces. Properties of such fields are investigated. It is proved that a continuous operator (scalar) \(V\)-bounded random field is a harmonizable one with the random spectral measure of finite operator (scalar) semivariation. MSC: 60G12 General second-order stochastic processes 60G60 Random fields Keywords:second-order random field; random fields on a locally compact Abelian group PDFBibTeX XMLCite \textit{A. I. Ponomarenko}, Theory Probab. Math. Stat. 48, 1 (1993; Zbl 0840.60034); translation from Teor. Jmovirn. Mat. Stat. 48, 161--173 (1993)