Many-dimensional covariant random fields on the commutative locally compact groups

• Date: 1992
• Main Authors: Malyarenko, A.A., Olenko, A.Ya., Маляренко, А.А., Оленко, А.Я.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8252
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Homogeneous in the wide sense, covariant random fields on commutative local compact groups with values in finite-dimensional complex Hilbert spaces are considered. The general formula for the correlation operator of such a field is proved, as well as the spectral representation of the field itself i...