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

• Дата: 1992
• Автори: Malyarenko, A.A., Olenko, A.Ya., Маляренко, А.А., Оленко, А.Я.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8252
• Назва журналу: 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...