Spectral analysis of multivariate stationary random functions on some massive groups

• Datum: 2007
• Hauptverfasser: Ponomarenko, O., Perun, Y.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/4521
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Spectral analysis of multivariate stationary random functions on some massive groups / O. Ponomarenko, Y. Perun // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 4. — С. 177–182. — Бібліогр.: 9 назв.— англ.

The spectral representations for wide sense stationary multivariate random functions and for their covariance functions on two classes of additive vector groups are obtained under some assumptions about continuity of such functions. The first class is nuclear topological groups and the second class i...