On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields

• Datum: 1994
• Hauptverfasser: Krasnitskii, S. M., Краснитский, С. М.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5698
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We give necessary conditions of equivalence of probability measures corresponding to generalized homogenous Gaussian fields. For the most part, the results are also new for standard homogenous fields and even in the one-dimensional case, i.e., for stationary processes.