Spectral analysis of some classes of multivariate random fields with isotropic property

• Datum: 2006
• ISSN: 0321-3900
• Hauptverfasser: Ponomarenko, O., Perunk, Y.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2006
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/4464
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Spectral analysis of some classes of multivariate random fields with isotropic property / O. Ponomarenko, Y. Perunk // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 3-4. — С. 142–150. — Бібліогр.: 12 назв.— англ.

In this paper we consider two classes of generalized random fields of second order on R^n with values in Hilbert space H with isotropic property: first - exponentially convex and isotropic random fields and second - homogeneous and isotropic random fields. The spectral representations for such fields and...